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Finding the Third Proportional to 88,961 and 195,418

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Solution

The third proportional to 88,961 and 195,418 is: 429,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,961 : 195,418 = 195,418 : x
  2. Step 2: Convert to fraction form
    88,961/195,418 = 195,418/x
  3. Step 3: Cross multiply
    88,961x = 195,418 × 195,418
  4. Step 4: Simplify right side
    88,961x = 38,188,194,724
  5. Step 5: Solve for x
    x = 38,188,194,724/88,961
  6. Step 6: Final answer
    x = 429,268.95

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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.