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Finding the Third Proportional to 87,779.95 and 188,883.14

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Solution

The third proportional to 87,779.95 and 188,883.14 is: 406,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,779.95 : 188,883.14 = 188,883.14 : x
  2. Step 2: Convert to fraction form
    87,779.95/188,883.14 = 188,883.14/x
  3. Step 3: Cross multiply
    87,779.95x = 188,883.14 × 188,883.14
  4. Step 4: Simplify right side
    87,779.95x = 35,676,840,812.36
  5. Step 5: Solve for x
    x = 35,676,840,812.36/87,779.95
  6. Step 6: Final answer
    x = 406,434.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.