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Finding the Third Proportional to 94.31 and 203.81

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Solution

The third proportional to 94.31 and 203.81 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.31 : 203.81 = 203.81 : x
  2. Step 2: Convert to fraction form
    94.31/203.81 = 203.81/x
  3. Step 3: Cross multiply
    94.31x = 203.81 × 203.81
  4. Step 4: Simplify right side
    94.31x = 41,539.54
  5. Step 5: Solve for x
    x = 41,539.54/94.31
  6. Step 6: Final answer
    x = 440.45

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