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Finding the Third Proportional to 93.97 and 196.49

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Solution

The third proportional to 93.97 and 196.49 is: 410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.97 : 196.49 = 196.49 : x
  2. Step 2: Convert to fraction form
    93.97/196.49 = 196.49/x
  3. Step 3: Cross multiply
    93.97x = 196.49 × 196.49
  4. Step 4: Simplify right side
    93.97x = 38,607.64
  5. Step 5: Solve for x
    x = 38,607.64/93.97
  6. Step 6: Final answer
    x = 410.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.