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Finding the Third Proportional to 88,626 and 191,337

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Solution

The third proportional to 88,626 and 191,337 is: 413,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,626 : 191,337 = 191,337 : x
  2. Step 2: Convert to fraction form
    88,626/191,337 = 191,337/x
  3. Step 3: Cross multiply
    88,626x = 191,337 × 191,337
  4. Step 4: Simplify right side
    88,626x = 36,609,847,569
  5. Step 5: Solve for x
    x = 36,609,847,569/88,626
  6. Step 6: Final answer
    x = 413,082.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.