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Finding the Third Proportional to 43,157,684 and 92,471,218

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Solution

The third proportional to 43,157,684 and 92,471,218 is: 198,132,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,157,684 : 92,471,218 = 92,471,218 : x
  2. Step 2: Convert to fraction form
    43,157,684/92,471,218 = 92,471,218/x
  3. Step 3: Cross multiply
    43,157,684x = 92,471,218 × 92,471,218
  4. Step 4: Simplify right side
    43,157,684x = 8,550,926,158,403,524
  5. Step 5: Solve for x
    x = 8,550,926,158,403,524/43,157,684
  6. Step 6: Final answer
    x = 198,132,183.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.