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Finding the Third Proportional to 215,466,930 and 334,315,822

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Solution

The third proportional to 215,466,930 and 334,315,822 is: 518,720,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,466,930 : 334,315,822 = 334,315,822 : x
  2. Step 2: Convert to fraction form
    215,466,930/334,315,822 = 334,315,822/x
  3. Step 3: Cross multiply
    215,466,930x = 334,315,822 × 334,315,822
  4. Step 4: Simplify right side
    215,466,930x = 111,767,068,839,535,680
  5. Step 5: Solve for x
    x = 111,767,068,839,535,680/215,466,930
  6. Step 6: Final answer
    x = 518,720,291.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.