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Finding the Third Proportional to 89,140 and 195,777

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Solution

The third proportional to 89,140 and 195,777 is: 429,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,140 : 195,777 = 195,777 : x
  2. Step 2: Convert to fraction form
    89,140/195,777 = 195,777/x
  3. Step 3: Cross multiply
    89,140x = 195,777 × 195,777
  4. Step 4: Simplify right side
    89,140x = 38,328,633,729
  5. Step 5: Solve for x
    x = 38,328,633,729/89,140
  6. Step 6: Final answer
    x = 429,982.43

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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.