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Finding the Third Proportional to 101,236,847 and 216,822,396

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Solution

The third proportional to 101,236,847 and 216,822,396 is: 464,375,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,236,847 : 216,822,396 = 216,822,396 : x
  2. Step 2: Convert to fraction form
    101,236,847/216,822,396 = 216,822,396/x
  3. Step 3: Cross multiply
    101,236,847x = 216,822,396 × 216,822,396
  4. Step 4: Simplify right side
    101,236,847x = 47,011,951,407,180,816
  5. Step 5: Solve for x
    x = 47,011,951,407,180,816/101,236,847
  6. Step 6: Final answer
    x = 464,375,894.75

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