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Finding the Third Proportional to 93.38 and 193.22

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Solution

The third proportional to 93.38 and 193.22 is: 399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.38 : 193.22 = 193.22 : x
  2. Step 2: Convert to fraction form
    93.38/193.22 = 193.22/x
  3. Step 3: Cross multiply
    93.38x = 193.22 × 193.22
  4. Step 4: Simplify right side
    93.38x = 37,333.49
  5. Step 5: Solve for x
    x = 37,333.49/93.38
  6. Step 6: Final answer
    x = 399.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.