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Finding the Third Proportional to 89,135.44 and 195,766.88

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Solution

The third proportional to 89,135.44 and 195,766.88 is: 429,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,135.44 : 195,766.88 = 195,766.88 : x
  2. Step 2: Convert to fraction form
    89,135.44/195,766.88 = 195,766.88/x
  3. Step 3: Cross multiply
    89,135.44x = 195,766.88 × 195,766.88
  4. Step 4: Simplify right side
    89,135.44x = 38,324,669,347.27
  5. Step 5: Solve for x
    x = 38,324,669,347.27/89,135.44
  6. Step 6: Final answer
    x = 429,959.96

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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.