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Finding the Third Proportional to 49,228 and 108,300

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Solution

The third proportional to 49,228 and 108,300 is: 238,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,228 : 108,300 = 108,300 : x
  2. Step 2: Convert to fraction form
    49,228/108,300 = 108,300/x
  3. Step 3: Cross multiply
    49,228x = 108,300 × 108,300
  4. Step 4: Simplify right side
    49,228x = 11,728,890,000
  5. Step 5: Solve for x
    x = 11,728,890,000/49,228
  6. Step 6: Final answer
    x = 238,256.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.