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Finding the Third Proportional to 106,638 and 229,800

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Solution

The third proportional to 106,638 and 229,800 is: 495,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638 : 229,800 = 229,800 : x
  2. Step 2: Convert to fraction form
    106,638/229,800 = 229,800/x
  3. Step 3: Cross multiply
    106,638x = 229,800 × 229,800
  4. Step 4: Simplify right side
    106,638x = 52,808,040,000
  5. Step 5: Solve for x
    x = 52,808,040,000/106,638
  6. Step 6: Final answer
    x = 495,208.46

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