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Finding the Third Proportional to 118,165,404 and 189,858,918

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Solution

The third proportional to 118,165,404 and 189,858,918 is: 305,050,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,165,404 : 189,858,918 = 189,858,918 : x
  2. Step 2: Convert to fraction form
    118,165,404/189,858,918 = 189,858,918/x
  3. Step 3: Cross multiply
    118,165,404x = 189,858,918 × 189,858,918
  4. Step 4: Simplify right side
    118,165,404x = 36,046,408,744,130,720
  5. Step 5: Solve for x
    x = 36,046,408,744,130,720/118,165,404
  6. Step 6: Final answer
    x = 305,050,442.21

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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.