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Finding the Third Proportional to 87,648,063,498 and 191,433,264,057

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Solution

The third proportional to 87,648,063,498 and 191,433,264,057 is: 418,111,856,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,648,063,498 : 191,433,264,057 = 191,433,264,057 : x
  2. Step 2: Convert to fraction form
    87,648,063,498/191,433,264,057 = 191,433,264,057/x
  3. Step 3: Cross multiply
    87,648,063,498x = 191,433,264,057 × 191,433,264,057
  4. Step 4: Simplify right side
    87,648,063,498x = 36,646,694,587,517,087,252,480
  5. Step 5: Solve for x
    x = 36,646,694,587,517,087,252,480/87,648,063,498
  6. Step 6: Final answer
    x = 418,111,856,953.39

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Why These Related Problems?

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