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Finding the Third Proportional to 199,951.88 and 444,190.50

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Solution

The third proportional to 199,951.88 and 444,190.50 is: 986,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,951.88 : 444,190.50 = 444,190.50 : x
  2. Step 2: Convert to fraction form
    199,951.88/444,190.50 = 444,190.50/x
  3. Step 3: Cross multiply
    199,951.88x = 444,190.50 × 444,190.50
  4. Step 4: Simplify right side
    199,951.88x = 197,305,200,290.25
  5. Step 5: Solve for x
    x = 197,305,200,290.25/199,951.88
  6. Step 6: Final answer
    x = 986,763.44

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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.