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Finding the Third Proportional to 87,724,080 and 190,092,312

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Solution

The third proportional to 87,724,080 and 190,092,312 is: 411,917,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,724,080 : 190,092,312 = 190,092,312 : x
  2. Step 2: Convert to fraction form
    87,724,080/190,092,312 = 190,092,312/x
  3. Step 3: Cross multiply
    87,724,080x = 190,092,312 × 190,092,312
  4. Step 4: Simplify right side
    87,724,080x = 36,135,087,081,505,344
  5. Step 5: Solve for x
    x = 36,135,087,081,505,344/87,724,080
  6. Step 6: Final answer
    x = 411,917,538.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.