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Finding the Third Proportional to 87,873,827,624 and 190,727,914,162

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Solution

The third proportional to 87,873,827,624 and 190,727,914,162 is: 413,970,100,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,873,827,624 : 190,727,914,162 = 190,727,914,162 : x
  2. Step 2: Convert to fraction form
    87,873,827,624/190,727,914,162 = 190,727,914,162/x
  3. Step 3: Cross multiply
    87,873,827,624x = 190,727,914,162 × 190,727,914,162
  4. Step 4: Simplify right side
    87,873,827,624x = 36,377,137,240,587,240,472,576
  5. Step 5: Solve for x
    x = 36,377,137,240,587,240,472,576/87,873,827,624
  6. Step 6: Final answer
    x = 413,970,100,360.71

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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.