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Finding the Third Proportional to 91,382.25 and 203,776.31

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Solution

The third proportional to 91,382.25 and 203,776.31 is: 454,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,382.25 : 203,776.31 = 203,776.31 : x
  2. Step 2: Convert to fraction form
    91,382.25/203,776.31 = 203,776.31/x
  3. Step 3: Cross multiply
    91,382.25x = 203,776.31 × 203,776.31
  4. Step 4: Simplify right side
    91,382.25x = 41,524,785,536.10
  5. Step 5: Solve for x
    x = 41,524,785,536.10/91,382.25
  6. Step 6: Final answer
    x = 454,407.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.