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Finding the Third Proportional to 96,253,446 and 207,848,238

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Solution

The third proportional to 96,253,446 and 207,848,238 is: 448,824,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,253,446 : 207,848,238 = 207,848,238 : x
  2. Step 2: Convert to fraction form
    96,253,446/207,848,238 = 207,848,238/x
  3. Step 3: Cross multiply
    96,253,446x = 207,848,238 × 207,848,238
  4. Step 4: Simplify right side
    96,253,446x = 43,200,890,039,704,640
  5. Step 5: Solve for x
    x = 43,200,890,039,704,640/96,253,446
  6. Step 6: Final answer
    x = 448,824,346.92

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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.