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Finding the Third Proportional to 101,951,001 and 151,015,380.75

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Solution

The third proportional to 101,951,001 and 151,015,380.75 is: 223,692,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,951,001 : 151,015,380.75 = 151,015,380.75 : x
  2. Step 2: Convert to fraction form
    101,951,001/151,015,380.75 = 151,015,380.75/x
  3. Step 3: Cross multiply
    101,951,001x = 151,015,380.75 × 151,015,380.75
  4. Step 4: Simplify right side
    101,951,001x = 22,805,645,223,067,472
  5. Step 5: Solve for x
    x = 22,805,645,223,067,472/101,951,001
  6. Step 6: Final answer
    x = 223,692,214.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.