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Finding the Third Proportional to 103,933 and 223,893

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Solution

The third proportional to 103,933 and 223,893 is: 482,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,933 : 223,893 = 223,893 : x
  2. Step 2: Convert to fraction form
    103,933/223,893 = 223,893/x
  3. Step 3: Cross multiply
    103,933x = 223,893 × 223,893
  4. Step 4: Simplify right side
    103,933x = 50,128,075,449
  5. Step 5: Solve for x
    x = 50,128,075,449/103,933
  6. Step 6: Final answer
    x = 482,311.45

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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.