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Finding the Third Proportional to 105,886 and 220,482

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Solution

The third proportional to 105,886 and 220,482 is: 459,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,886 : 220,482 = 220,482 : x
  2. Step 2: Convert to fraction form
    105,886/220,482 = 220,482/x
  3. Step 3: Cross multiply
    105,886x = 220,482 × 220,482
  4. Step 4: Simplify right side
    105,886x = 48,612,312,324
  5. Step 5: Solve for x
    x = 48,612,312,324/105,886
  6. Step 6: Final answer
    x = 459,100.47

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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.