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Finding the Third Proportional to 101,898 and 223,482

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Solution

The third proportional to 101,898 and 223,482 is: 490,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,898 : 223,482 = 223,482 : x
  2. Step 2: Convert to fraction form
    101,898/223,482 = 223,482/x
  3. Step 3: Cross multiply
    101,898x = 223,482 × 223,482
  4. Step 4: Simplify right side
    101,898x = 49,944,204,324
  5. Step 5: Solve for x
    x = 49,944,204,324/101,898
  6. Step 6: Final answer
    x = 490,139.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.