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Finding the Third Proportional to 110,162,890 and 166,661,177

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Solution

The third proportional to 110,162,890 and 166,661,177 is: 252,135,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,162,890 : 166,661,177 = 166,661,177 : x
  2. Step 2: Convert to fraction form
    110,162,890/166,661,177 = 166,661,177/x
  3. Step 3: Cross multiply
    110,162,890x = 166,661,177 × 166,661,177
  4. Step 4: Simplify right side
    110,162,890x = 27,775,947,919,025,328
  5. Step 5: Solve for x
    x = 27,775,947,919,025,328/110,162,890
  6. Step 6: Final answer
    x = 252,135,250.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.