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Finding the Third Proportional to 94,502.32 and 204,033.86

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Solution

The third proportional to 94,502.32 and 204,033.86 is: 440,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,502.32 : 204,033.86 = 204,033.86 : x
  2. Step 2: Convert to fraction form
    94,502.32/204,033.86 = 204,033.86/x
  3. Step 3: Cross multiply
    94,502.32x = 204,033.86 × 204,033.86
  4. Step 4: Simplify right side
    94,502.32x = 41,629,815,372.95
  5. Step 5: Solve for x
    x = 41,629,815,372.95/94,502.32
  6. Step 6: Final answer
    x = 440,516.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.