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Finding the Third Proportional to 218,920,065 and 475,945,446

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Solution

The third proportional to 218,920,065 and 475,945,446 is: 1,034,734,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,920,065 : 475,945,446 = 475,945,446 : x
  2. Step 2: Convert to fraction form
    218,920,065/475,945,446 = 475,945,446/x
  3. Step 3: Cross multiply
    218,920,065x = 475,945,446 × 475,945,446
  4. Step 4: Simplify right side
    218,920,065x = 226,524,067,568,138,912
  5. Step 5: Solve for x
    x = 226,524,067,568,138,912/218,920,065
  6. Step 6: Final answer
    x = 1,034,734,150.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.