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Finding the Third Proportional to 97,414.31 and 209,385.84

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Solution

The third proportional to 97,414.31 and 209,385.84 is: 450,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,414.31 : 209,385.84 = 209,385.84 : x
  2. Step 2: Convert to fraction form
    97,414.31/209,385.84 = 209,385.84/x
  3. Step 3: Cross multiply
    97,414.31x = 209,385.84 × 209,385.84
  4. Step 4: Simplify right side
    97,414.31x = 43,842,431,562.90
  5. Step 5: Solve for x
    x = 43,842,431,562.90/97,414.31
  6. Step 6: Final answer
    x = 450,061.50

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