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Finding the Third Proportional to 88,792 and 195,439

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Solution

The third proportional to 88,792 and 195,439 is: 430,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,792 : 195,439 = 195,439 : x
  2. Step 2: Convert to fraction form
    88,792/195,439 = 195,439/x
  3. Step 3: Cross multiply
    88,792x = 195,439 × 195,439
  4. Step 4: Simplify right side
    88,792x = 38,196,402,721
  5. Step 5: Solve for x
    x = 38,196,402,721/88,792
  6. Step 6: Final answer
    x = 430,178.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.