Is there a service that allows webinar and video combined?

Hi! My company does updates on health care to our clients. We have been using GoToWebinar to do these live events where we have a speaker and we are showing a PowerPoint presentation. Now they would like to pre-record the PowerPoint part and play it as a movie, then have a live question and answer session. GoToWebinar doesn’t seem to be able to handle the video part. Is there another solution? We haven’t had luck with WebEx either. Thoughts?