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Finding the Third Proportional to 148,239,864 and 229,813,092

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Solution

The third proportional to 148,239,864 and 229,813,092 is: 356,274,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,239,864 : 229,813,092 = 229,813,092 : x
  2. Step 2: Convert to fraction form
    148,239,864/229,813,092 = 229,813,092/x
  3. Step 3: Cross multiply
    148,239,864x = 229,813,092 × 229,813,092
  4. Step 4: Simplify right side
    148,239,864x = 52,814,057,254,600,464
  5. Step 5: Solve for x
    x = 52,814,057,254,600,464/148,239,864
  6. Step 6: Final answer
    x = 356,274,323.45

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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.