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Finding the Third Proportional to 102,691.13 and 220,660.88

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Solution

The third proportional to 102,691.13 and 220,660.88 is: 474,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,691.13 : 220,660.88 = 220,660.88 : x
  2. Step 2: Convert to fraction form
    102,691.13/220,660.88 = 220,660.88/x
  3. Step 3: Cross multiply
    102,691.13x = 220,660.88 × 220,660.88
  4. Step 4: Simplify right side
    102,691.13x = 48,691,221,755.77
  5. Step 5: Solve for x
    x = 48,691,221,755.77/102,691.13
  6. Step 6: Final answer
    x = 474,152.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.