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Finding the Third Proportional to 95,227.50 and 209,136

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Solution

The third proportional to 95,227.50 and 209,136 is: 459,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,227.50 : 209,136 = 209,136 : x
  2. Step 2: Convert to fraction form
    95,227.50/209,136 = 209,136/x
  3. Step 3: Cross multiply
    95,227.50x = 209,136 × 209,136
  4. Step 4: Simplify right side
    95,227.50x = 43,737,866,496
  5. Step 5: Solve for x
    x = 43,737,866,496/95,227.50
  6. Step 6: Final answer
    x = 459,298.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.