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Finding the Third Proportional to 87,635,003.63 and 189,812,440.97

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Solution

The third proportional to 87,635,003.63 and 189,812,440.97 is: 411,122,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,635,003.63 : 189,812,440.97 = 189,812,440.97 : x
  2. Step 2: Convert to fraction form
    87,635,003.63/189,812,440.97 = 189,812,440.97/x
  3. Step 3: Cross multiply
    87,635,003.63x = 189,812,440.97 × 189,812,440.97
  4. Step 4: Simplify right side
    87,635,003.63x = 36,028,762,746,515,204
  5. Step 5: Solve for x
    x = 36,028,762,746,515,204/87,635,003.63
  6. Step 6: Final answer
    x = 411,122,967.49

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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.