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Finding the Third Proportional to 151,615,914 and 232,900,589.50

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Solution

The third proportional to 151,615,914 and 232,900,589.50 is: 357,763,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,615,914 : 232,900,589.50 = 232,900,589.50 : x
  2. Step 2: Convert to fraction form
    151,615,914/232,900,589.50 = 232,900,589.50/x
  3. Step 3: Cross multiply
    151,615,914x = 232,900,589.50 × 232,900,589.50
  4. Step 4: Simplify right side
    151,615,914x = 54,242,684,589,447,512
  5. Step 5: Solve for x
    x = 54,242,684,589,447,512/151,615,914
  6. Step 6: Final answer
    x = 357,763,793.78

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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.