Well this isn't a "solution" but it is a work around for you to get sims 3 back on your machine and to be honest I don't know if you can do this on a MAC but it is worth checking out,
If you got to the EA store :-
https://activate.ea.com/applyentitlement.do
You can activate your game and download it digiitally from the EA store. If you don't trust the above link then here is the link to the EA store :-
http://eastore.ea.com/
Once there click on the "Activate a Game" link in the top right hand corner.
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