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Finding the Third Proportional to 102,073.50 and 217,687.50

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Solution

The third proportional to 102,073.50 and 217,687.50 is: 464,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.50 : 217,687.50 = 217,687.50 : x
  2. Step 2: Convert to fraction form
    102,073.50/217,687.50 = 217,687.50/x
  3. Step 3: Cross multiply
    102,073.50x = 217,687.50 × 217,687.50
  4. Step 4: Simplify right side
    102,073.50x = 47,387,847,656.25
  5. Step 5: Solve for x
    x = 47,387,847,656.25/102,073.50
  6. Step 6: Final answer
    x = 464,252.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.