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Finding the Third Proportional to 88,156 and 195,928

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Solution

The third proportional to 88,156 and 195,928 is: 435,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,156 : 195,928 = 195,928 : x
  2. Step 2: Convert to fraction form
    88,156/195,928 = 195,928/x
  3. Step 3: Cross multiply
    88,156x = 195,928 × 195,928
  4. Step 4: Simplify right side
    88,156x = 38,387,781,184
  5. Step 5: Solve for x
    x = 38,387,781,184/88,156
  6. Step 6: Final answer
    x = 435,452.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.