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Finding the Third Proportional to 96,243.50 and 198,589.50

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Solution

The third proportional to 96,243.50 and 198,589.50 is: 409,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,243.50 : 198,589.50 = 198,589.50 : x
  2. Step 2: Convert to fraction form
    96,243.50/198,589.50 = 198,589.50/x
  3. Step 3: Cross multiply
    96,243.50x = 198,589.50 × 198,589.50
  4. Step 4: Simplify right side
    96,243.50x = 39,437,789,510.25
  5. Step 5: Solve for x
    x = 39,437,789,510.25/96,243.50
  6. Step 6: Final answer
    x = 409,770.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.