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Finding the Third Proportional to 101,538,150 and 154,687,976

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Solution

The third proportional to 101,538,150 and 154,687,976 is: 235,658,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538,150 : 154,687,976 = 154,687,976 : x
  2. Step 2: Convert to fraction form
    101,538,150/154,687,976 = 154,687,976/x
  3. Step 3: Cross multiply
    101,538,150x = 154,687,976 × 154,687,976
  4. Step 4: Simplify right side
    101,538,150x = 23,928,369,918,976,576
  5. Step 5: Solve for x
    x = 23,928,369,918,976,576/101,538,150
  6. Step 6: Final answer
    x = 235,658,911.64

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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.