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Finding the Third Proportional to 203,115.09 and 440,098.31

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Solution

The third proportional to 203,115.09 and 440,098.31 is: 953,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,115.09 : 440,098.31 = 440,098.31 : x
  2. Step 2: Convert to fraction form
    203,115.09/440,098.31 = 440,098.31/x
  3. Step 3: Cross multiply
    203,115.09x = 440,098.31 × 440,098.31
  4. Step 4: Simplify right side
    203,115.09x = 193,686,524,665.35
  5. Step 5: Solve for x
    x = 193,686,524,665.35/203,115.09
  6. Step 6: Final answer
    x = 953,580.17

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Why These Related Problems?

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