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Finding the Third Proportional to 105,914 and 219,170

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Solution

The third proportional to 105,914 and 219,170 is: 453,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,914 : 219,170 = 219,170 : x
  2. Step 2: Convert to fraction form
    105,914/219,170 = 219,170/x
  3. Step 3: Cross multiply
    105,914x = 219,170 × 219,170
  4. Step 4: Simplify right side
    105,914x = 48,035,488,900
  5. Step 5: Solve for x
    x = 48,035,488,900/105,914
  6. Step 6: Final answer
    x = 453,532.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.