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Finding the Third Proportional to 93.71 and 205.43

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Solution

The third proportional to 93.71 and 205.43 is: 450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.71 : 205.43 = 205.43 : x
  2. Step 2: Convert to fraction form
    93.71/205.43 = 205.43/x
  3. Step 3: Cross multiply
    93.71x = 205.43 × 205.43
  4. Step 4: Simplify right side
    93.71x = 42,202.18
  5. Step 5: Solve for x
    x = 42,202.18/93.71
  6. Step 6: Final answer
    x = 450.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.