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Finding the Third Proportional to 106.63 and 221.48

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Solution

The third proportional to 106.63 and 221.48 is: 460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 221.48 = 221.48 : x
  2. Step 2: Convert to fraction form
    106.63/221.48 = 221.48/x
  3. Step 3: Cross multiply
    106.63x = 221.48 × 221.48
  4. Step 4: Simplify right side
    106.63x = 49,055.33
  5. Step 5: Solve for x
    x = 49,055.33/106.63
  6. Step 6: Final answer
    x = 460.06

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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.