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Finding the Third Proportional to 105,723 and 220,194

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Solution

The third proportional to 105,723 and 220,194 is: 458,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,723 : 220,194 = 220,194 : x
  2. Step 2: Convert to fraction form
    105,723/220,194 = 220,194/x
  3. Step 3: Cross multiply
    105,723x = 220,194 × 220,194
  4. Step 4: Simplify right side
    105,723x = 48,485,397,636
  5. Step 5: Solve for x
    x = 48,485,397,636/105,723
  6. Step 6: Final answer
    x = 458,607.85

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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.