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Finding the Third Proportional to 109,691.72 and 163,819.97

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Solution

The third proportional to 109,691.72 and 163,819.97 is: 244,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,691.72 : 163,819.97 = 163,819.97 : x
  2. Step 2: Convert to fraction form
    109,691.72/163,819.97 = 163,819.97/x
  3. Step 3: Cross multiply
    109,691.72x = 163,819.97 × 163,819.97
  4. Step 4: Simplify right side
    109,691.72x = 26,836,982,161.25
  5. Step 5: Solve for x
    x = 26,836,982,161.25/109,691.72
  6. Step 6: Final answer
    x = 244,658.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.