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Finding the Third Proportional to 92,568,096 and 199,067,382

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Solution

The third proportional to 92,568,096 and 199,067,382 is: 428,093,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,568,096 : 199,067,382 = 199,067,382 : x
  2. Step 2: Convert to fraction form
    92,568,096/199,067,382 = 199,067,382/x
  3. Step 3: Cross multiply
    92,568,096x = 199,067,382 × 199,067,382
  4. Step 4: Simplify right side
    92,568,096x = 39,627,822,576,333,920
  5. Step 5: Solve for x
    x = 39,627,822,576,333,920/92,568,096
  6. Step 6: Final answer
    x = 428,093,741.67

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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.