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Finding the Third Proportional to 98,469,151.03 and 212,209,849.69

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Solution

The third proportional to 98,469,151.03 and 212,209,849.69 is: 457,331,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,469,151.03 : 212,209,849.69 = 212,209,849.69 : x
  2. Step 2: Convert to fraction form
    98,469,151.03/212,209,849.69 = 212,209,849.69/x
  3. Step 3: Cross multiply
    98,469,151.03x = 212,209,849.69 × 212,209,849.69
  4. Step 4: Simplify right side
    98,469,151.03x = 45,033,020,304,391,344
  5. Step 5: Solve for x
    x = 45,033,020,304,391,344/98,469,151.03
  6. Step 6: Final answer
    x = 457,331,253.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.