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Finding the Third Proportional to 109,900 and 225,622

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Solution

The third proportional to 109,900 and 225,622 is: 463,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,900 : 225,622 = 225,622 : x
  2. Step 2: Convert to fraction form
    109,900/225,622 = 225,622/x
  3. Step 3: Cross multiply
    109,900x = 225,622 × 225,622
  4. Step 4: Simplify right side
    109,900x = 50,905,286,884
  5. Step 5: Solve for x
    x = 50,905,286,884/109,900
  6. Step 6: Final answer
    x = 463,196.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.