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Finding the Third Proportional to 92,568,116 and 199,067,422

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Solution

The third proportional to 92,568,116 and 199,067,422 is: 428,093,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,568,116 : 199,067,422 = 199,067,422 : x
  2. Step 2: Convert to fraction form
    92,568,116/199,067,422 = 199,067,422/x
  3. Step 3: Cross multiply
    92,568,116x = 199,067,422 × 199,067,422
  4. Step 4: Simplify right side
    92,568,116x = 39,627,838,501,726,080
  5. Step 5: Solve for x
    x = 39,627,838,501,726,080/92,568,116
  6. Step 6: Final answer
    x = 428,093,821.22

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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.