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Finding the Third Proportional to 105,866 and 220,444

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Solution

The third proportional to 105,866 and 220,444 is: 459,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,866 : 220,444 = 220,444 : x
  2. Step 2: Convert to fraction form
    105,866/220,444 = 220,444/x
  3. Step 3: Cross multiply
    105,866x = 220,444 × 220,444
  4. Step 4: Simplify right side
    105,866x = 48,595,557,136
  5. Step 5: Solve for x
    x = 48,595,557,136/105,866
  6. Step 6: Final answer
    x = 459,028.93

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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.