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Finding the Third Proportional to 103,691 and 217,825

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Solution

The third proportional to 103,691 and 217,825 is: 457,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691 : 217,825 = 217,825 : x
  2. Step 2: Convert to fraction form
    103,691/217,825 = 217,825/x
  3. Step 3: Cross multiply
    103,691x = 217,825 × 217,825
  4. Step 4: Simplify right side
    103,691x = 47,447,730,625
  5. Step 5: Solve for x
    x = 47,447,730,625/103,691
  6. Step 6: Final answer
    x = 457,587.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.