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Finding the Third Proportional to 205,939.13 and 443,491.88

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Solution

The third proportional to 205,939.13 and 443,491.88 is: 955,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,939.13 : 443,491.88 = 443,491.88 : x
  2. Step 2: Convert to fraction form
    205,939.13/443,491.88 = 443,491.88/x
  3. Step 3: Cross multiply
    205,939.13x = 443,491.88 × 443,491.88
  4. Step 4: Simplify right side
    205,939.13x = 196,685,043,191.02
  5. Step 5: Solve for x
    x = 196,685,043,191.02/205,939.13
  6. Step 6: Final answer
    x = 955,063.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.