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Finding the Third Proportional to 76,383,891 and 156,297,600

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Solution

The third proportional to 76,383,891 and 156,297,600 is: 319,817,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,383,891 : 156,297,600 = 156,297,600 : x
  2. Step 2: Convert to fraction form
    76,383,891/156,297,600 = 156,297,600/x
  3. Step 3: Cross multiply
    76,383,891x = 156,297,600 × 156,297,600
  4. Step 4: Simplify right side
    76,383,891x = 24,428,939,765,760,000
  5. Step 5: Solve for x
    x = 24,428,939,765,760,000/76,383,891
  6. Step 6: Final answer
    x = 319,817,954.36

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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.