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Finding the Third Proportional to 93.42 and 201.66

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Solution

The third proportional to 93.42 and 201.66 is: 435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.42 : 201.66 = 201.66 : x
  2. Step 2: Convert to fraction form
    93.42/201.66 = 201.66/x
  3. Step 3: Cross multiply
    93.42x = 201.66 × 201.66
  4. Step 4: Simplify right side
    93.42x = 40,665.24
  5. Step 5: Solve for x
    x = 40,665.24/93.42
  6. Step 6: Final answer
    x = 435.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.