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Finding the Third Proportional to 93.19 and 213.56

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Solution

The third proportional to 93.19 and 213.56 is: 489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.19 : 213.56 = 213.56 : x
  2. Step 2: Convert to fraction form
    93.19/213.56 = 213.56/x
  3. Step 3: Cross multiply
    93.19x = 213.56 × 213.56
  4. Step 4: Simplify right side
    93.19x = 45,608.94
  5. Step 5: Solve for x
    x = 45,608.94/93.19
  6. Step 6: Final answer
    x = 489.43

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.