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Finding the Third Proportional to 101,329,874 and 205,479,387

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Solution

The third proportional to 101,329,874 and 205,479,387 is: 416,676,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,329,874 : 205,479,387 = 205,479,387 : x
  2. Step 2: Convert to fraction form
    101,329,874/205,479,387 = 205,479,387/x
  3. Step 3: Cross multiply
    101,329,874x = 205,479,387 × 205,479,387
  4. Step 4: Simplify right side
    101,329,874x = 42,221,778,481,895,768
  5. Step 5: Solve for x
    x = 42,221,778,481,895,768/101,329,874
  6. Step 6: Final answer
    x = 416,676,512.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.