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Finding the Third Proportional to 187,899.75 and 217,545.75

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Solution

The third proportional to 187,899.75 and 217,545.75 is: 251,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,899.75 : 217,545.75 = 217,545.75 : x
  2. Step 2: Convert to fraction form
    187,899.75/217,545.75 = 217,545.75/x
  3. Step 3: Cross multiply
    187,899.75x = 217,545.75 × 217,545.75
  4. Step 4: Simplify right side
    187,899.75x = 47,326,153,343.06
  5. Step 5: Solve for x
    x = 47,326,153,343.06/187,899.75
  6. Step 6: Final answer
    x = 251,869.17

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.