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Finding the Third Proportional to 87,695 and 191,797

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Solution

The third proportional to 87,695 and 191,797 is: 419,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,695 : 191,797 = 191,797 : x
  2. Step 2: Convert to fraction form
    87,695/191,797 = 191,797/x
  3. Step 3: Cross multiply
    87,695x = 191,797 × 191,797
  4. Step 4: Simplify right side
    87,695x = 36,786,089,209
  5. Step 5: Solve for x
    x = 36,786,089,209/87,695
  6. Step 6: Final answer
    x = 419,477.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.