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Finding the Third Proportional to 239,469,976 and 350,247,012

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Solution

The third proportional to 239,469,976 and 350,247,012 is: 512,268,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,469,976 : 350,247,012 = 350,247,012 : x
  2. Step 2: Convert to fraction form
    239,469,976/350,247,012 = 350,247,012/x
  3. Step 3: Cross multiply
    239,469,976x = 350,247,012 × 350,247,012
  4. Step 4: Simplify right side
    239,469,976x = 122,672,969,414,928,144
  5. Step 5: Solve for x
    x = 122,672,969,414,928,144/239,469,976
  6. Step 6: Final answer
    x = 512,268,683.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.