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Finding the Third Proportional to 88,223 and 192,307

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Solution

The third proportional to 88,223 and 192,307 is: 419,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,223 : 192,307 = 192,307 : x
  2. Step 2: Convert to fraction form
    88,223/192,307 = 192,307/x
  3. Step 3: Cross multiply
    88,223x = 192,307 × 192,307
  4. Step 4: Simplify right side
    88,223x = 36,981,982,249
  5. Step 5: Solve for x
    x = 36,981,982,249/88,223
  6. Step 6: Final answer
    x = 419,187.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.