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Finding the Third Proportional to 105,864 and 220,440

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Solution

The third proportional to 105,864 and 220,440 is: 459,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864 : 220,440 = 220,440 : x
  2. Step 2: Convert to fraction form
    105,864/220,440 = 220,440/x
  3. Step 3: Cross multiply
    105,864x = 220,440 × 220,440
  4. Step 4: Simplify right side
    105,864x = 48,593,793,600
  5. Step 5: Solve for x
    x = 48,593,793,600/105,864
  6. Step 6: Final answer
    x = 459,020.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.