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Finding the Third Proportional to 100,791,883,722 and 215,960,352,568

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Solution

The third proportional to 100,791,883,722 and 215,960,352,568 is: 462,724,498,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,791,883,722 : 215,960,352,568 = 215,960,352,568 : x
  2. Step 2: Convert to fraction form
    100,791,883,722/215,960,352,568 = 215,960,352,568/x
  3. Step 3: Cross multiply
    100,791,883,722x = 215,960,352,568 × 215,960,352,568
  4. Step 4: Simplify right side
    100,791,883,722x = 46,638,873,881,294,860,713,984
  5. Step 5: Solve for x
    x = 46,638,873,881,294,860,713,984/100,791,883,722
  6. Step 6: Final answer
    x = 462,724,498,829.02

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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.