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Finding the Third Proportional to 100,791,883,713 and 215,960,352,552

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Solution

The third proportional to 100,791,883,713 and 215,960,352,552 is: 462,724,498,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,791,883,713 : 215,960,352,552 = 215,960,352,552 : x
  2. Step 2: Convert to fraction form
    100,791,883,713/215,960,352,552 = 215,960,352,552/x
  3. Step 3: Cross multiply
    100,791,883,713x = 215,960,352,552 × 215,960,352,552
  4. Step 4: Simplify right side
    100,791,883,713x = 46,638,873,874,384,132,505,600
  5. Step 5: Solve for x
    x = 46,638,873,874,384,132,505,600/100,791,883,713
  6. Step 6: Final answer
    x = 462,724,498,801.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.