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Finding the Third Proportional to 181,900,520 and 279,597,108

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Solution

The third proportional to 181,900,520 and 279,597,108 is: 429,765,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,900,520 : 279,597,108 = 279,597,108 : x
  2. Step 2: Convert to fraction form
    181,900,520/279,597,108 = 279,597,108/x
  3. Step 3: Cross multiply
    181,900,520x = 279,597,108 × 279,597,108
  4. Step 4: Simplify right side
    181,900,520x = 78,174,542,801,963,664
  5. Step 5: Solve for x
    x = 78,174,542,801,963,664/181,900,520
  6. Step 6: Final answer
    x = 429,765,361.87

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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.