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Finding the Third Proportional to 106,611 and 229,629

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Solution

The third proportional to 106,611 and 229,629 is: 494,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,611 : 229,629 = 229,629 : x
  2. Step 2: Convert to fraction form
    106,611/229,629 = 229,629/x
  3. Step 3: Cross multiply
    106,611x = 229,629 × 229,629
  4. Step 4: Simplify right side
    106,611x = 52,729,477,641
  5. Step 5: Solve for x
    x = 52,729,477,641/106,611
  6. Step 6: Final answer
    x = 494,596.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.