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Finding the Third Proportional to 103,166.72 and 217,531.69

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Solution

The third proportional to 103,166.72 and 217,531.69 is: 458,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,166.72 : 217,531.69 = 217,531.69 : x
  2. Step 2: Convert to fraction form
    103,166.72/217,531.69 = 217,531.69/x
  3. Step 3: Cross multiply
    103,166.72x = 217,531.69 × 217,531.69
  4. Step 4: Simplify right side
    103,166.72x = 47,320,035,066.60
  5. Step 5: Solve for x
    x = 47,320,035,066.60/103,166.72
  6. Step 6: Final answer
    x = 458,675.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.