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Finding the Third Proportional to 95,674.50 and 198,247.50

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Solution

The third proportional to 95,674.50 and 198,247.50 is: 410,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,674.50 : 198,247.50 = 198,247.50 : x
  2. Step 2: Convert to fraction form
    95,674.50/198,247.50 = 198,247.50/x
  3. Step 3: Cross multiply
    95,674.50x = 198,247.50 × 198,247.50
  4. Step 4: Simplify right side
    95,674.50x = 39,302,071,256.25
  5. Step 5: Solve for x
    x = 39,302,071,256.25/95,674.50
  6. Step 6: Final answer
    x = 410,789.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.