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Finding the Third Proportional to 182,741,694 and 398,970,390

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Solution

The third proportional to 182,741,694 and 398,970,390 is: 871,051,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,741,694 : 398,970,390 = 398,970,390 : x
  2. Step 2: Convert to fraction form
    182,741,694/398,970,390 = 398,970,390/x
  3. Step 3: Cross multiply
    182,741,694x = 398,970,390 × 398,970,390
  4. Step 4: Simplify right side
    182,741,694x = 159,177,372,096,752,096
  5. Step 5: Solve for x
    x = 159,177,372,096,752,096/182,741,694
  6. Step 6: Final answer
    x = 871,051,201.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.