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Finding the Third Proportional to 204,806.81 and 445,564.13

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Solution

The third proportional to 204,806.81 and 445,564.13 is: 969,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,806.81 : 445,564.13 = 445,564.13 : x
  2. Step 2: Convert to fraction form
    204,806.81/445,564.13 = 445,564.13/x
  3. Step 3: Cross multiply
    204,806.81x = 445,564.13 × 445,564.13
  4. Step 4: Simplify right side
    204,806.81x = 198,527,389,487.02
  5. Step 5: Solve for x
    x = 198,527,389,487.02/204,806.81
  6. Step 6: Final answer
    x = 969,339.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.