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Finding the Third Proportional to 87,616.69 and 191,020.78

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Solution

The third proportional to 87,616.69 and 191,020.78 is: 416,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,616.69 : 191,020.78 = 191,020.78 : x
  2. Step 2: Convert to fraction form
    87,616.69/191,020.78 = 191,020.78/x
  3. Step 3: Cross multiply
    87,616.69x = 191,020.78 × 191,020.78
  4. Step 4: Simplify right side
    87,616.69x = 36,488,938,869.36
  5. Step 5: Solve for x
    x = 36,488,938,869.36/87,616.69
  6. Step 6: Final answer
    x = 416,461.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.