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Finding the Third Proportional to 199,853,511 and 445,659,822

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Solution

The third proportional to 199,853,511 and 445,659,822 is: 993,791,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853,511 : 445,659,822 = 445,659,822 : x
  2. Step 2: Convert to fraction form
    199,853,511/445,659,822 = 445,659,822/x
  3. Step 3: Cross multiply
    199,853,511x = 445,659,822 × 445,659,822
  4. Step 4: Simplify right side
    199,853,511x = 198,612,676,945,071,680
  5. Step 5: Solve for x
    x = 198,612,676,945,071,680/199,853,511
  6. Step 6: Final answer
    x = 993,791,282.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.