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Finding the Third Proportional to 101,538,080 and 154,687,872

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Solution

The third proportional to 101,538,080 and 154,687,872 is: 235,658,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538,080 : 154,687,872 = 154,687,872 : x
  2. Step 2: Convert to fraction form
    101,538,080/154,687,872 = 154,687,872/x
  3. Step 3: Cross multiply
    101,538,080x = 154,687,872 × 154,687,872
  4. Step 4: Simplify right side
    101,538,080x = 23,928,337,743,888,384
  5. Step 5: Solve for x
    x = 23,928,337,743,888,384/101,538,080
  6. Step 6: Final answer
    x = 235,658,757.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.