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Finding the Third Proportional to 93.66 and 198.28

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Solution

The third proportional to 93.66 and 198.28 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.66 : 198.28 = 198.28 : x
  2. Step 2: Convert to fraction form
    93.66/198.28 = 198.28/x
  3. Step 3: Cross multiply
    93.66x = 198.28 × 198.28
  4. Step 4: Simplify right side
    93.66x = 39,315.45
  5. Step 5: Solve for x
    x = 39,315.45/93.66
  6. Step 6: Final answer
    x = 419.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.