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Finding the Third Proportional to 93.94 and 193.97

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Solution

The third proportional to 93.94 and 193.97 is: 400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.94 : 193.97 = 193.97 : x
  2. Step 2: Convert to fraction form
    93.94/193.97 = 193.97/x
  3. Step 3: Cross multiply
    93.94x = 193.97 × 193.97
  4. Step 4: Simplify right side
    93.94x = 37,623.88
  5. Step 5: Solve for x
    x = 37,623.88/93.94
  6. Step 6: Final answer
    x = 400.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.