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Finding the Third Proportional to 100,745,847 and 213,598,548

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Solution

The third proportional to 100,745,847 and 213,598,548 is: 452,865,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,745,847 : 213,598,548 = 213,598,548 : x
  2. Step 2: Convert to fraction form
    100,745,847/213,598,548 = 213,598,548/x
  3. Step 3: Cross multiply
    100,745,847x = 213,598,548 × 213,598,548
  4. Step 4: Simplify right side
    100,745,847x = 45,624,339,707,708,304
  5. Step 5: Solve for x
    x = 45,624,339,707,708,304/100,745,847
  6. Step 6: Final answer
    x = 452,865,711.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.