Share Shortcodes in Multisite

I have a Multsite network setup and some of the content between blogs is shared. To cut down on maintenance, I am able to pull the content from one of the blogs and mirror it on another using a code like this:

<?php
// Display page content from the network's primary website
$other_page = get_blog_post( 2, 5);
if( $other_page ):

echo $other_page->post_content;

endif;
?>

While the content comes through nicely, the shortcodes do not.

Anyone know a filter, etc. that I can use to ensure the shortcodes work? I do have the necessary plugins installed throughout the network. I think it's just seeing the shortcode as text and not as something functional.