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Finding the Third Proportional to 96,904,478 and 148,948,866

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Solution

The third proportional to 96,904,478 and 148,948,866 is: 228,944,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904,478 : 148,948,866 = 148,948,866 : x
  2. Step 2: Convert to fraction form
    96,904,478/148,948,866 = 148,948,866/x
  3. Step 3: Cross multiply
    96,904,478x = 148,948,866 × 148,948,866
  4. Step 4: Simplify right side
    96,904,478x = 22,185,764,682,685,956
  5. Step 5: Solve for x
    x = 22,185,764,682,685,956/96,904,478
  6. Step 6: Final answer
    x = 228,944,679.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.