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The International Cricket Council (ICC) rejected Rabada's claim the contact with Smith was accidental.
The visitors lost Mitchell Marsh (45) in the first over as Rabada uprooted his middle stump, before Pat Cummins (five) was well caught in the gully by De Bruyn.
Tim Paine was left unbeaten on 28.
Rabada had a further disciplinary charge hanging over his head on Monday, with another demerit point issued to him for his celebration upon dismissing David Warner on Sunday.
"I found that there was contact between Rabada and Smith‚ and in my judgement the contact by Rabada was inappropriate and deliberate‚" the release quoted match referee Jeff Crowe as saying.
Both players were given one demerit point, with Marsh fined 20 per cent of his match fee and Rabada 15.
Speaking before Steyn's status had been revealed, South Africa captain Faf du Plessis said that he hoped to have the paceman back in time for the fourth Test at the Wanderers.
He had not scored a ton in his last 13 Tests but featured in an 84-run partnership with Vernon Philander (36) for the eighth wicket and a further 58 with Keshav Maharaj, who swatted at the Australian bowling to score 30 off 24 balls.
South Africa are assured of the second prize of five lakh dollars.
"I think it's up to some of our senior guys to just help him", de Villiers said. It wasn't straightforward, with Australia removing Hashim Amla and AB de Villiers in quick succession to have the South Africans 81-4. "I'm letting the team as well as myself down".
For his part, Rabada said he would need to avoid getting into close proximity with opponents.
Rabada was handed a two-Test suspension after being found guilty of a level two charge of "inappropriate and deliberate physical contact" with with Steve Smith on Day 1 of their second Test in Port Elizebeth whilst giving the Australian cricket team skipper a send-off. That took his total of points after three previous offences to eight and triggered an automatic two-Test ban.
In a major blow to South Africa, fast bowler Dale Steyn's much-sought return is delayed once again as he has been ruled out of the third Test of the four-match series against Australia after failing to recover fully from a heel injury.
De Villiers scored an unbeaten 126 in South Africa's first innings, turning the match in the space of 146 balls.
Early on Wednesday, a petrol bomb was hurled at a BJP office in Coimbatore , around 500 km from here, by unidentified persons. Opposition DMK said that following the outcry in Tamil Nadu on this issue, none would make such remarks henceforth.
She gave birth to daughter Alexis Olympia on September 1 and has since been working her way back to fitness. "She was great. Williams experienced a pulmonary embolism ( blockage that occurs in the lungs ) after giving birth via C-section.
Nelson was set to make just over $9.5 million in base salary for 2018 with the potential for over $12 million with incentives. Over his eight year National Football League career, Graham has tallied 556 receptions for 6,800 yards and 69 touchdowns.
Arrieta had a 4.67 ERA in first 16 starts last season, but finished strong, going 7-4 with a 2.26 ERA in his final 14 outings. Arrieta has been one of the top players on a chaotic Major League Baseball free agent market all offseason.
The energy behemoth has significant business dealings in sub-Saharan Africa, including in Chad, Nigeria and Equatorial Guinea. At the press conference, Tillerson said he had "a very good exchange" with Ethiopian officials about counterterrorism efforts.
The two companies running head-to-head in this race are USA -based Qualcomm and China-based Huawei ( New York Times ). That could allow Chinese companies, namely Huawei Technologies Co, to become the dominant supplier, the U.S. said.
Richard Sherman , the four-time Pro Bowl cornerback and one of the NFL's biggest stars, appears to be on the way out of Seattle. Nothing is official, and Sherman texted ESPN's Josina Anderson on Wednesday, telling her that he has not "been told anything".
Israeli Ambassador Ron Dermer, speaking at AIPAC on Sunday, said that the Jewish people will "forever" remember Trump's decision. Kushner has also been stripped of his top security clearance in another blow to his credibility as an global negotiator.
NASA is accepting passengers until April 27 and then will load their names onto a memory card that will go onto the probe. This summer, it plans to send a spacecraft to the scorching ball of fire, and onboard could be your name.
France, the former colonial power in the Sahel region, has deployed 4,000 troops to support the five-country G5 joint force. French military experts are expected in Ouagadougou to help with the probe, according to a government statement .
My Take - Time to Change
Non-working smoke alarms rob residents of the protective benefits home fire safety devices were created to provide. Additionally, the International Association of Fire Chiefs recommends replacing smoke alarms every 10 years.
Mario's Taking Over Google Maps in Mississauga!
So if you unlock the game's premium features through in-app purchase, it will cost you just $4.99 instead of 9.99. Good bye for a week to the random Google Maps lady and her accent and say hello to Super Mario for directions.
Tiger Tracker: Woods leads outright at Valspar
You'll hear Tiger say he's "progressing" and analysts have said he's "slowly" getting it back with more reps. Here are some golfers we like to contend for the victory this weekend. "It fits us", Woods added.
McDonald's flips golden arches to a 'W' for women's day
Young women take part in the Women's March against Violence as part of International Women's Day , on March 8 in Milan, Italy. IWD has developed into a formally recognised day by the United Nations and is today celebrated around the world.
Trade Agreement will strengthen NZ export sector - Fed Farmers
The signing of the CPTPP is another step along the road to its full implementation - it still has to be ratified by six countries. The Federation believes CPTPP will safeguard New Zealand's economic interests and further strengthen our export sector.
Officers Shot In Clinton Were Sent To The Wrong House
For reasons that authorities still are trying to determine, the officers were sent to the address in Clinton where they were shot. One of the wounded officers remained hospitalized Wednesday with moderate injuries. "They kept calling his name", Long said.