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Finding the Third Proportional to 203,196.94 and 446,615.44

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Solution

The third proportional to 203,196.94 and 446,615.44 is: 981,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,196.94 : 446,615.44 = 446,615.44 : x
  2. Step 2: Convert to fraction form
    203,196.94/446,615.44 = 446,615.44/x
  3. Step 3: Cross multiply
    203,196.94x = 446,615.44 × 446,615.44
  4. Step 4: Simplify right side
    203,196.94x = 199,465,349,013.32
  5. Step 5: Solve for x
    x = 199,465,349,013.32/203,196.94
  6. Step 6: Final answer
    x = 981,635.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.