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Finding the Third Proportional to 138,423.75 and 216,862.13

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Solution

The third proportional to 138,423.75 and 216,862.13 is: 339,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,423.75 : 216,862.13 = 216,862.13 : x
  2. Step 2: Convert to fraction form
    138,423.75/216,862.13 = 216,862.13/x
  3. Step 3: Cross multiply
    138,423.75x = 216,862.13 × 216,862.13
  4. Step 4: Simplify right side
    138,423.75x = 47,029,181,259.52
  5. Step 5: Solve for x
    x = 47,029,181,259.52/138,423.75
  6. Step 6: Final answer
    x = 339,747.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.