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Finding the Third Proportional to 150,624,422 and 232,752,923

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Solution

The third proportional to 150,624,422 and 232,752,923 is: 359,662,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,624,422 : 232,752,923 = 232,752,923 : x
  2. Step 2: Convert to fraction form
    150,624,422/232,752,923 = 232,752,923/x
  3. Step 3: Cross multiply
    150,624,422x = 232,752,923 × 232,752,923
  4. Step 4: Simplify right side
    150,624,422x = 54,173,923,165,043,928
  5. Step 5: Solve for x
    x = 54,173,923,165,043,928/150,624,422
  6. Step 6: Final answer
    x = 359,662,280.83

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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.