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Information Junky
Join Date: Mar 2001
Location: an island, upper left coast, USA
Posts: 73,167
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There are so many ways to make that work.
Beam height gives stiffness (video puns aside) and that's generally what you want. (acceptable strength often follows)
Steel is really great stuff. There are various soln's there. Or you could integrate the deck rail into the structure/span. On the posts, what kind of wood are they? VG oak, or knotty pine? ... The existing may be plenty adequate to carry the load while missing the one post.
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Everyone you meet knows something you don't. - - - and a whole bunch of crap that is wrong.
Disclaimer: the above was 2¢ worth.
More information is available as my professional opinion, which is provided for an exorbitant fee. 
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