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Finding the Third Proportional to 76,486.78 and 166,105.69

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Solution

The third proportional to 76,486.78 and 166,105.69 is: 360,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.78 : 166,105.69 = 166,105.69 : x
  2. Step 2: Convert to fraction form
    76,486.78/166,105.69 = 166,105.69/x
  3. Step 3: Cross multiply
    76,486.78x = 166,105.69 × 166,105.69
  4. Step 4: Simplify right side
    76,486.78x = 27,591,099,419.85
  5. Step 5: Solve for x
    x = 27,591,099,419.85/76,486.78
  6. Step 6: Final answer
    x = 360,730.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.