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Finding the Third Proportional to 106.31 and 221.06

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Solution

The third proportional to 106.31 and 221.06 is: 459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 221.06 = 221.06 : x
  2. Step 2: Convert to fraction form
    106.31/221.06 = 221.06/x
  3. Step 3: Cross multiply
    106.31x = 221.06 × 221.06
  4. Step 4: Simplify right side
    106.31x = 48,868.63
  5. Step 5: Solve for x
    x = 48,868.63/106.31
  6. Step 6: Final answer
    x = 459.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.