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Finding the Third Proportional to 204,670.13 and 440,121.09

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Solution

The third proportional to 204,670.13 and 440,121.09 is: 946,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,670.13 : 440,121.09 = 440,121.09 : x
  2. Step 2: Convert to fraction form
    204,670.13/440,121.09 = 440,121.09/x
  3. Step 3: Cross multiply
    204,670.13x = 440,121.09 × 440,121.09
  4. Step 4: Simplify right side
    204,670.13x = 193,706,577,163.70
  5. Step 5: Solve for x
    x = 193,706,577,163.70/204,670.13
  6. Step 6: Final answer
    x = 946,433.08

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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.