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Finding the Third Proportional to 110,163,025 and 166,661,384

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Solution

The third proportional to 110,163,025 and 166,661,384 is: 252,135,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,163,025 : 166,661,384 = 166,661,384 : x
  2. Step 2: Convert to fraction form
    110,163,025/166,661,384 = 166,661,384/x
  3. Step 3: Cross multiply
    110,163,025x = 166,661,384 × 166,661,384
  4. Step 4: Simplify right side
    110,163,025x = 27,776,016,916,795,456
  5. Step 5: Solve for x
    x = 27,776,016,916,795,456/110,163,025
  6. Step 6: Final answer
    x = 252,135,568.33

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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.