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Finding the Third Proportional to 76,383,899 and 156,297,616

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Solution

The third proportional to 76,383,899 and 156,297,616 is: 319,817,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,383,899 : 156,297,616 = 156,297,616 : x
  2. Step 2: Convert to fraction form
    76,383,899/156,297,616 = 156,297,616/x
  3. Step 3: Cross multiply
    76,383,899x = 156,297,616 × 156,297,616
  4. Step 4: Simplify right side
    76,383,899x = 24,428,944,767,283,456
  5. Step 5: Solve for x
    x = 24,428,944,767,283,456/76,383,899
  6. Step 6: Final answer
    x = 319,817,986.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.