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Finding the Third Proportional to 96,762,124 and 149,823,366

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Solution

The third proportional to 96,762,124 and 149,823,366 is: 231,981,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,762,124 : 149,823,366 = 149,823,366 : x
  2. Step 2: Convert to fraction form
    96,762,124/149,823,366 = 149,823,366/x
  3. Step 3: Cross multiply
    96,762,124x = 149,823,366 × 149,823,366
  4. Step 4: Simplify right side
    96,762,124x = 22,447,040,999,569,956
  5. Step 5: Solve for x
    x = 22,447,040,999,569,956/96,762,124
  6. Step 6: Final answer
    x = 231,981,689.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.