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Finding the Third Proportional to 106.10 and 226.90

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Solution

The third proportional to 106.10 and 226.90 is: 485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.10 : 226.90 = 226.90 : x
  2. Step 2: Convert to fraction form
    106.10/226.90 = 226.90/x
  3. Step 3: Cross multiply
    106.10x = 226.90 × 226.90
  4. Step 4: Simplify right side
    106.10x = 51,482.90
  5. Step 5: Solve for x
    x = 51,482.90/106.10
  6. Step 6: Final answer
    x = 485.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.