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Finding the Third Proportional to 100,960 and 222,224

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Solution

The third proportional to 100,960 and 222,224 is: 489,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,960 : 222,224 = 222,224 : x
  2. Step 2: Convert to fraction form
    100,960/222,224 = 222,224/x
  3. Step 3: Cross multiply
    100,960x = 222,224 × 222,224
  4. Step 4: Simplify right side
    100,960x = 49,383,506,176
  5. Step 5: Solve for x
    x = 49,383,506,176/100,960
  6. Step 6: Final answer
    x = 489,139.32

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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.