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Finding the Third Proportional to 93.71 and 209.04

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Solution

The third proportional to 93.71 and 209.04 is: 466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.71 : 209.04 = 209.04 : x
  2. Step 2: Convert to fraction form
    93.71/209.04 = 209.04/x
  3. Step 3: Cross multiply
    93.71x = 209.04 × 209.04
  4. Step 4: Simplify right side
    93.71x = 43,695.95
  5. Step 5: Solve for x
    x = 43,695.95/93.71
  6. Step 6: Final answer
    x = 466.31

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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.