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Finding the Third Proportional to 106,219.50 and 231,171

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Solution

The third proportional to 106,219.50 and 231,171 is: 503,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,219.50 : 231,171 = 231,171 : x
  2. Step 2: Convert to fraction form
    106,219.50/231,171 = 231,171/x
  3. Step 3: Cross multiply
    106,219.50x = 231,171 × 231,171
  4. Step 4: Simplify right side
    106,219.50x = 53,440,031,241
  5. Step 5: Solve for x
    x = 53,440,031,241/106,219.50
  6. Step 6: Final answer
    x = 503,109.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.