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Finding the Third Proportional to 105,726 and 220,199

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Solution

The third proportional to 105,726 and 220,199 is: 458,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,726 : 220,199 = 220,199 : x
  2. Step 2: Convert to fraction form
    105,726/220,199 = 220,199/x
  3. Step 3: Cross multiply
    105,726x = 220,199 × 220,199
  4. Step 4: Simplify right side
    105,726x = 48,487,599,601
  5. Step 5: Solve for x
    x = 48,487,599,601/105,726
  6. Step 6: Final answer
    x = 458,615.66

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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.