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Finding the Third Proportional to 98,947.50 and 220,041

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Solution

The third proportional to 98,947.50 and 220,041 is: 489,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,947.50 : 220,041 = 220,041 : x
  2. Step 2: Convert to fraction form
    98,947.50/220,041 = 220,041/x
  3. Step 3: Cross multiply
    98,947.50x = 220,041 × 220,041
  4. Step 4: Simplify right side
    98,947.50x = 48,418,041,681
  5. Step 5: Solve for x
    x = 48,418,041,681/98,947.50
  6. Step 6: Final answer
    x = 489,330.62

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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.