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Finding the Third Proportional to 100,791,883,715 and 215,960,352,556

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Solution

The third proportional to 100,791,883,715 and 215,960,352,556 is: 462,724,498,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,791,883,715 : 215,960,352,556 = 215,960,352,556 : x
  2. Step 2: Convert to fraction form
    100,791,883,715/215,960,352,556 = 215,960,352,556/x
  3. Step 3: Cross multiply
    100,791,883,715x = 215,960,352,556 × 215,960,352,556
  4. Step 4: Simplify right side
    100,791,883,715x = 46,638,873,876,111,816,654,848
  5. Step 5: Solve for x
    x = 46,638,873,876,111,816,654,848/100,791,883,715
  6. Step 6: Final answer
    x = 462,724,498,809.73

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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.