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Finding the Third Proportional to 205,205.91 and 443,490.19

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Solution

The third proportional to 205,205.91 and 443,490.19 is: 958,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,205.91 : 443,490.19 = 443,490.19 : x
  2. Step 2: Convert to fraction form
    205,205.91/443,490.19 = 443,490.19/x
  3. Step 3: Cross multiply
    205,205.91x = 443,490.19 × 443,490.19
  4. Step 4: Simplify right side
    205,205.91x = 196,683,546,408.79
  5. Step 5: Solve for x
    x = 196,683,546,408.79/205,205.91
  6. Step 6: Final answer
    x = 958,469.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.