It look like this may be a file from BackupEarth.com , BKE apparently is a data compression file. I have not found an app listed anywhere that can open this. It may be proprietary to their site, encrypted or something else.
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The bke file extension is associated with the BackupEarth.com compression software. The .bke file stores compressed data.
Bke compression file format as well as BackupEarth.com compression software is obsolete products.