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Finding the Third Proportional to 93.66 and 212.63

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Solution

The third proportional to 93.66 and 212.63 is: 482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.66 : 212.63 = 212.63 : x
  2. Step 2: Convert to fraction form
    93.66/212.63 = 212.63/x
  3. Step 3: Cross multiply
    93.66x = 212.63 × 212.63
  4. Step 4: Simplify right side
    93.66x = 45,209.39
  5. Step 5: Solve for x
    x = 45,209.39/93.66
  6. Step 6: Final answer
    x = 482.72

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.