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Finding the Third Proportional to 281,275,984.13 and 605,753,488.13

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Solution

The third proportional to 281,275,984.13 and 605,753,488.13 is: 1,304,545,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,275,984.13 : 605,753,488.13 = 605,753,488.13 : x
  2. Step 2: Convert to fraction form
    281,275,984.13/605,753,488.13 = 605,753,488.13/x
  3. Step 3: Cross multiply
    281,275,984.13x = 605,753,488.13 × 605,753,488.13
  4. Step 4: Simplify right side
    281,275,984.13x = 366,937,288,375,604,544
  5. Step 5: Solve for x
    x = 366,937,288,375,604,544/281,275,984.13
  6. Step 6: Final answer
    x = 1,304,545,389.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.