I don't believe that is a fact. Most sources I have read indicate rough parity in effective range. (It will, of course, depend on the bow - both longbows and crossbows can vary a lot.) Also the longbow's lethality was mainly at the shorter ranges.
Here's about the first hit google throws up on "longbow crossbow range":
http://www.thebeckoning.com/medieval...oss_l_v_c.html
Who are you fighting? Against Venetian massed stacks of pavise crossbowmen, I can see you being disappointed although I doubt anyone would seriously try to duke it out with them. But against anything else I've encountered, my longbowmen do great. A unit of longbowmen will pretty much destroy a stationary unit of knights, dismounted or mounted, let along pikemen and more lightly armoured troops. The trouble comes when the enemy is not stationary...
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