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Finding the Third Proportional to 118,165,408 and 189,858,923

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Solution

The third proportional to 118,165,408 and 189,858,923 is: 305,050,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,165,408 : 189,858,923 = 189,858,923 : x
  2. Step 2: Convert to fraction form
    118,165,408/189,858,923 = 189,858,923/x
  3. Step 3: Cross multiply
    118,165,408x = 189,858,923 × 189,858,923
  4. Step 4: Simplify right side
    118,165,408x = 36,046,410,642,719,928
  5. Step 5: Solve for x
    x = 36,046,410,642,719,928/118,165,408
  6. Step 6: Final answer
    x = 305,050,447.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.