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Finding the Third Proportional to 76,441,256 and 166,318,720

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Solution

The third proportional to 76,441,256 and 166,318,720 is: 361,871,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,441,256 : 166,318,720 = 166,318,720 : x
  2. Step 2: Convert to fraction form
    76,441,256/166,318,720 = 166,318,720/x
  3. Step 3: Cross multiply
    76,441,256x = 166,318,720 × 166,318,720
  4. Step 4: Simplify right side
    76,441,256x = 27,661,916,622,438,400
  5. Step 5: Solve for x
    x = 27,661,916,622,438,400/76,441,256
  6. Step 6: Final answer
    x = 361,871,560.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.