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Finding the Third Proportional to 92,568,114 and 199,067,418

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Solution

The third proportional to 92,568,114 and 199,067,418 is: 428,093,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,568,114 : 199,067,418 = 199,067,418 : x
  2. Step 2: Convert to fraction form
    92,568,114/199,067,418 = 199,067,418/x
  3. Step 3: Cross multiply
    92,568,114x = 199,067,418 × 199,067,418
  4. Step 4: Simplify right side
    92,568,114x = 39,627,836,909,186,720
  5. Step 5: Solve for x
    x = 39,627,836,909,186,720/92,568,114
  6. Step 6: Final answer
    x = 428,093,813.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.