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Finding the Third Proportional to 87,676.09 and 188,872.86

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Solution

The third proportional to 87,676.09 and 188,872.86 is: 406,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,676.09 : 188,872.86 = 188,872.86 : x
  2. Step 2: Convert to fraction form
    87,676.09/188,872.86 = 188,872.86/x
  3. Step 3: Cross multiply
    87,676.09x = 188,872.86 × 188,872.86
  4. Step 4: Simplify right side
    87,676.09x = 35,672,956,270.71
  5. Step 5: Solve for x
    x = 35,672,956,270.71/87,676.09
  6. Step 6: Final answer
    x = 406,872.10

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