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Finding the Third Proportional to 93.26 and 203.61

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Solution

The third proportional to 93.26 and 203.61 is: 444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.26 : 203.61 = 203.61 : x
  2. Step 2: Convert to fraction form
    93.26/203.61 = 203.61/x
  3. Step 3: Cross multiply
    93.26x = 203.61 × 203.61
  4. Step 4: Simplify right side
    93.26x = 41,455.98
  5. Step 5: Solve for x
    x = 41,455.98/93.26
  6. Step 6: Final answer
    x = 444.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.