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Finding the Third Proportional to 110,162,891 and 166,661,178

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Solution

The third proportional to 110,162,891 and 166,661,178 is: 252,135,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,162,891 : 166,661,178 = 166,661,178 : x
  2. Step 2: Convert to fraction form
    110,162,891/166,661,178 = 166,661,178/x
  3. Step 3: Cross multiply
    110,162,891x = 166,661,178 × 166,661,178
  4. Step 4: Simplify right side
    110,162,891x = 27,775,948,252,347,684
  5. Step 5: Solve for x
    x = 27,775,948,252,347,684/110,162,891
  6. Step 6: Final answer
    x = 252,135,251.72

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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.