I'd recommend Partition Wizard (instead of diskmgmt)
to reduce your 200GB to 115B, leaving 85GB approx) Unallocated space. Enough for whatever partitions are on the 80GB drive anyway.
Right click the 200GB and Move/Resize so that it is are far right of drive space.
You can the use your clone software to see if it will alow cloning, BUT ONLY INTO the Unallocated space.
If not Partition Wizard Bootable CD will allow you to copy the partitions over manually.
Make a note of which partition is Active on the 80GB.
Switch off, disconnect 80GB, reboot from PW CD, change drive letters to get C, D, E, F etc.
Right click what will be the Active Boot Partition (as noted before). Select Modify/Set Active.
Eject CD and reboot to test.
Assuming all OK, I'd suggest you wait a while (few days/week) before wiping the 80GB or changing its letters to say J, K etc and messing with its partitions or re-use. You may need to do this from the Boot CD again, with 200GB disconnected since having two drives with same partition letters may upset things.
If the repartitioned 200GB doesn't boot by itself, try the boot CD Rebuild MBR function.
Cautiont: All data should really be backed up elsewhere before you try any of this. But if you haven't got the space it's at your own risk.