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Finding the Third Proportional to 89,140.50 and 195,774.75

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Solution

The third proportional to 89,140.50 and 195,774.75 is: 429,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,140.50 : 195,774.75 = 195,774.75 : x
  2. Step 2: Convert to fraction form
    89,140.50/195,774.75 = 195,774.75/x
  3. Step 3: Cross multiply
    89,140.50x = 195,774.75 × 195,774.75
  4. Step 4: Simplify right side
    89,140.50x = 38,327,752,737.56
  5. Step 5: Solve for x
    x = 38,327,752,737.56/89,140.50
  6. Step 6: Final answer
    x = 429,970.13

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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.