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Finding the Third Proportional to 106,149 and 228,021

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Solution

The third proportional to 106,149 and 228,021 is: 489,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,149 : 228,021 = 228,021 : x
  2. Step 2: Convert to fraction form
    106,149/228,021 = 228,021/x
  3. Step 3: Cross multiply
    106,149x = 228,021 × 228,021
  4. Step 4: Simplify right side
    106,149x = 51,993,576,441
  5. Step 5: Solve for x
    x = 51,993,576,441/106,149
  6. Step 6: Final answer
    x = 489,816.92

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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.