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Finding the Third Proportional to 96,250,853 and 207,842,422

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Solution

The third proportional to 96,250,853 and 207,842,422 is: 448,811,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250,853 : 207,842,422 = 207,842,422 : x
  2. Step 2: Convert to fraction form
    96,250,853/207,842,422 = 207,842,422/x
  3. Step 3: Cross multiply
    96,250,853x = 207,842,422 × 207,842,422
  4. Step 4: Simplify right side
    96,250,853x = 43,198,472,382,826,080
  5. Step 5: Solve for x
    x = 43,198,472,382,826,080/96,250,853
  6. Step 6: Final answer
    x = 448,811,319.97

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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.