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Finding the Third Proportional to 68,491,296 and 100,279,728

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Solution

The third proportional to 68,491,296 and 100,279,728 is: 146,821,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,491,296 : 100,279,728 = 100,279,728 : x
  2. Step 2: Convert to fraction form
    68,491,296/100,279,728 = 100,279,728/x
  3. Step 3: Cross multiply
    68,491,296x = 100,279,728 × 100,279,728
  4. Step 4: Simplify right side
    68,491,296x = 10,056,023,847,753,984
  5. Step 5: Solve for x
    x = 10,056,023,847,753,984/68,491,296
  6. Step 6: Final answer
    x = 146,821,923.88

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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.