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Finding the Third Proportional to 96,904,494 and 148,948,893

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Solution

The third proportional to 96,904,494 and 148,948,893 is: 228,944,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904,494 : 148,948,893 = 148,948,893 : x
  2. Step 2: Convert to fraction form
    96,904,494/148,948,893 = 148,948,893/x
  3. Step 3: Cross multiply
    96,904,494x = 148,948,893 × 148,948,893
  4. Step 4: Simplify right side
    96,904,494x = 22,185,772,725,925,448
  5. Step 5: Solve for x
    x = 22,185,772,725,925,448/96,904,494
  6. Step 6: Final answer
    x = 228,944,724.96

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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.