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Finding the Third Proportional to 151,615,902 and 232,900,569

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Solution

The third proportional to 151,615,902 and 232,900,569 is: 357,763,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,615,902 : 232,900,569 = 232,900,569 : x
  2. Step 2: Convert to fraction form
    151,615,902/232,900,569 = 232,900,569/x
  3. Step 3: Cross multiply
    151,615,902x = 232,900,569 × 232,900,569
  4. Step 4: Simplify right side
    151,615,902x = 54,242,675,040,523,760
  5. Step 5: Solve for x
    x = 54,242,675,040,523,760/151,615,902
  6. Step 6: Final answer
    x = 357,763,759.11

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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.