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Finding the Third Proportional to 150,353,948 and 239,245,175

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Solution

The third proportional to 150,353,948 and 239,245,175 is: 380,690,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,353,948 : 239,245,175 = 239,245,175 : x
  2. Step 2: Convert to fraction form
    150,353,948/239,245,175 = 239,245,175/x
  3. Step 3: Cross multiply
    150,353,948x = 239,245,175 × 239,245,175
  4. Step 4: Simplify right side
    150,353,948x = 57,238,253,760,780,624
  5. Step 5: Solve for x
    x = 57,238,253,760,780,624/150,353,948
  6. Step 6: Final answer
    x = 380,690,061.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.