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Finding the Third Proportional to 41,354.25 and 89,710.13

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Solution

The third proportional to 41,354.25 and 89,710.13 is: 194,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,354.25 : 89,710.13 = 89,710.13 : x
  2. Step 2: Convert to fraction form
    41,354.25/89,710.13 = 89,710.13/x
  3. Step 3: Cross multiply
    41,354.25x = 89,710.13 × 89,710.13
  4. Step 4: Simplify right side
    41,354.25x = 8,047,906,527.52
  5. Step 5: Solve for x
    x = 8,047,906,527.52/41,354.25
  6. Step 6: Final answer
    x = 194,608.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.