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Finding the Third Proportional to 204,097.22 and 443,611.69

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Solution

The third proportional to 204,097.22 and 443,611.69 is: 964,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,097.22 : 443,611.69 = 443,611.69 : x
  2. Step 2: Convert to fraction form
    204,097.22/443,611.69 = 443,611.69/x
  3. Step 3: Cross multiply
    204,097.22x = 443,611.69 × 443,611.69
  4. Step 4: Simplify right side
    204,097.22x = 196,791,329,286.60
  5. Step 5: Solve for x
    x = 196,791,329,286.60/204,097.22
  6. Step 6: Final answer
    x = 964,203.88

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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.