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Finding the Third Proportional to 110,163,023 and 166,661,381

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Solution

The third proportional to 110,163,023 and 166,661,381 is: 252,135,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,163,023 : 166,661,381 = 166,661,381 : x
  2. Step 2: Convert to fraction form
    110,163,023/166,661,381 = 166,661,381/x
  3. Step 3: Cross multiply
    110,163,023x = 166,661,381 × 166,661,381
  4. Step 4: Simplify right side
    110,163,023x = 27,776,015,916,827,160
  5. Step 5: Solve for x
    x = 27,776,015,916,827,160/110,163,023
  6. Step 6: Final answer
    x = 252,135,563.83

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