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Finding the Third Proportional to 110,162,893 and 166,661,181

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Solution

The third proportional to 110,162,893 and 166,661,181 is: 252,135,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,162,893 : 166,661,181 = 166,661,181 : x
  2. Step 2: Convert to fraction form
    110,162,893/166,661,181 = 166,661,181/x
  3. Step 3: Cross multiply
    110,162,893x = 166,661,181 × 166,661,181
  4. Step 4: Simplify right side
    110,162,893x = 27,775,949,252,314,760
  5. Step 5: Solve for x
    x = 27,775,949,252,314,760/110,162,893
  6. Step 6: Final answer
    x = 252,135,256.22

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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.