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Finding the Third Proportional to 107,408,028 and 165,189,474

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Solution

The third proportional to 107,408,028 and 165,189,474 is: 254,055,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,408,028 : 165,189,474 = 165,189,474 : x
  2. Step 2: Convert to fraction form
    107,408,028/165,189,474 = 165,189,474/x
  3. Step 3: Cross multiply
    107,408,028x = 165,189,474 × 165,189,474
  4. Step 4: Simplify right side
    107,408,028x = 27,287,562,320,396,676
  5. Step 5: Solve for x
    x = 27,287,562,320,396,676/107,408,028
  6. Step 6: Final answer
    x = 254,055,146.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.