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Finding the Third Proportional to 101.19 and 222.22

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Solution

The third proportional to 101.19 and 222.22 is: 488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.19 : 222.22 = 222.22 : x
  2. Step 2: Convert to fraction form
    101.19/222.22 = 222.22/x
  3. Step 3: Cross multiply
    101.19x = 222.22 × 222.22
  4. Step 4: Simplify right side
    101.19x = 49,381.17
  5. Step 5: Solve for x
    x = 49,381.17/101.19
  6. Step 6: Final answer
    x = 488.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.