To convert between different units of measurement, you need to know the conversion factors. Here are the relevant conversion factors for this problem:

1 decameter (dm) = 10 meters (m)
1 meter (m) = 1000 millimeters (mm)
Therefore, 1 decameter (dm) = 10,000 millimeters (mm)

1 hectometer (hm) = 100 meters (m)
1 kilometer (km) = 1000 meters (m)
Therefore, 1 hectometer (hm) = 0.1 kilometers (km)

Now, let's use these conversion factors to solve the problem:

### Conversion 1: 97 dm to mm
$$97 \, \text{dm} \times 10,000 \, \text{mm/dm} = 970,000 \, \text{mm}$$

So, $97 \, \text{dm} = 970,000 \, \text{mm}$.

### Conversion 2: 932 hm to km and hm
$$932 \, \text{hm} \times 0.1 \, \text{km/hm} = 93.2 \, \text{km}$$

So, $932 \, \text{hm} = 93.2 \, \text{km}$.

Therefore, the answers are:
$$97 \, \text{dm} = 970,000 \, \text{mm}$$
$$932 \, \text{hm} = 93.2 \, \text{km}$$