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Finding the Third Proportional to 82,858,110 and 124,633,099

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Solution

The third proportional to 82,858,110 and 124,633,099 is: 187,469,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858,110 : 124,633,099 = 124,633,099 : x
  2. Step 2: Convert to fraction form
    82,858,110/124,633,099 = 124,633,099/x
  3. Step 3: Cross multiply
    82,858,110x = 124,633,099 × 124,633,099
  4. Step 4: Simplify right side
    82,858,110x = 15,533,409,366,343,800
  5. Step 5: Solve for x
    x = 15,533,409,366,343,800/82,858,110
  6. Step 6: Final answer
    x = 187,469,993.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.