Satellite radio shock jock Howard Stern has announced his engagement to longtime girlfriend Beth Ostrosky.

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Stern, 53, said a wedding date hasn't been set, and that he plans a long engagement, E! News reported Thursday.

Stern relayed his R-rated proposal -- during which he asked the 34-year-old Ostrosky to disrobe -- during his Sirius satellite radio show on Valentine's Day. When she agreed to marry him, he gave her a 5.2-carat diamond ring.

It will be the second marriage for Stern and the first for model-actress Ostrosky, a Pittsburgh native whose acting credits include roles in "Flirting with Disaster" with Ben Stiller and "Whipped" with Amanda Peet.

Stern and Ostrosky met in 2001, a year after Stern separated from his wife of 20 years, Alison.