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Finding the Third Proportional to 204,050.81 and 443,048.06

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Solution

The third proportional to 204,050.81 and 443,048.06 is: 961,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,050.81 : 443,048.06 = 443,048.06 : x
  2. Step 2: Convert to fraction form
    204,050.81/443,048.06 = 443,048.06/x
  3. Step 3: Cross multiply
    204,050.81x = 443,048.06 × 443,048.06
  4. Step 4: Simplify right side
    204,050.81x = 196,291,585,685.00
  5. Step 5: Solve for x
    x = 196,291,585,685.00/204,050.81
  6. Step 6: Final answer
    x = 961,974.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.