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Finding the Third Proportional to 203,968.13 and 441,835.13

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Solution

The third proportional to 203,968.13 and 441,835.13 is: 957,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,968.13 : 441,835.13 = 441,835.13 : x
  2. Step 2: Convert to fraction form
    203,968.13/441,835.13 = 441,835.13/x
  3. Step 3: Cross multiply
    203,968.13x = 441,835.13 × 441,835.13
  4. Step 4: Simplify right side
    203,968.13x = 195,218,277,683.77
  5. Step 5: Solve for x
    x = 195,218,277,683.77/203,968.13
  6. Step 6: Final answer
    x = 957,101.89

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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.