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Finding the Third Proportional to 93.16 and 204.05

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Solution

The third proportional to 93.16 and 204.05 is: 446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.16 : 204.05 = 204.05 : x
  2. Step 2: Convert to fraction form
    93.16/204.05 = 204.05/x
  3. Step 3: Cross multiply
    93.16x = 204.05 × 204.05
  4. Step 4: Simplify right side
    93.16x = 41,635.13
  5. Step 5: Solve for x
    x = 41,635.13/93.16
  6. Step 6: Final answer
    x = 446.90

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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.