said by Bob Anderson:Not much I can do about this in a tenant landlord situation.
1.) You could mention the unsafe situation of ungrounded 3-prong outlets to your landlord. Some do take reported safety issues serious (because of the associated liability for them) and will take steps to improve the situation (which of course includes the possibility that they turn it back into a 2-prong outlet).
2.) You could (at your own expense) replace those outlets with GFCI receptacles which makes them code compliant and safe for the occupants of that apartment (as mentioned before it does nothing for equipment that relies on ground for other purposes).
This is what I have done in rental situations before.