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Finding the Third Proportional to 103,930 and 223,888

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Solution

The third proportional to 103,930 and 223,888 is: 482,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,930 : 223,888 = 223,888 : x
  2. Step 2: Convert to fraction form
    103,930/223,888 = 223,888/x
  3. Step 3: Cross multiply
    103,930x = 223,888 × 223,888
  4. Step 4: Simplify right side
    103,930x = 50,125,836,544
  5. Step 5: Solve for x
    x = 50,125,836,544/103,930
  6. Step 6: Final answer
    x = 482,303.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.