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Finding the Third Proportional to 42,591.38 and 93,748.50

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Solution

The third proportional to 42,591.38 and 93,748.50 is: 206,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,591.38 : 93,748.50 = 93,748.50 : x
  2. Step 2: Convert to fraction form
    42,591.38/93,748.50 = 93,748.50/x
  3. Step 3: Cross multiply
    42,591.38x = 93,748.50 × 93,748.50
  4. Step 4: Simplify right side
    42,591.38x = 8,788,781,252.25
  5. Step 5: Solve for x
    x = 8,788,781,252.25/42,591.38
  6. Step 6: Final answer
    x = 206,351.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.