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Finding the Third Proportional to 93.94 and 209.56

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Solution

The third proportional to 93.94 and 209.56 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.94 : 209.56 = 209.56 : x
  2. Step 2: Convert to fraction form
    93.94/209.56 = 209.56/x
  3. Step 3: Cross multiply
    93.94x = 209.56 × 209.56
  4. Step 4: Simplify right side
    93.94x = 43,916.44
  5. Step 5: Solve for x
    x = 43,916.44/93.94
  6. Step 6: Final answer
    x = 467.51

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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.