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Finding the Third Proportional to 98,472 and 152,766.13

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Solution

The third proportional to 98,472 and 152,766.13 is: 236,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,472 : 152,766.13 = 152,766.13 : x
  2. Step 2: Convert to fraction form
    98,472/152,766.13 = 152,766.13/x
  3. Step 3: Cross multiply
    98,472x = 152,766.13 × 152,766.13
  4. Step 4: Simplify right side
    98,472x = 23,337,488,947.52
  5. Step 5: Solve for x
    x = 23,337,488,947.52/98,472
  6. Step 6: Final answer
    x = 236,996.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.