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Finding the Third Proportional to 83,682 and 183,948.75

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Solution

The third proportional to 83,682 and 183,948.75 is: 404,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,682 : 183,948.75 = 183,948.75 : x
  2. Step 2: Convert to fraction form
    83,682/183,948.75 = 183,948.75/x
  3. Step 3: Cross multiply
    83,682x = 183,948.75 × 183,948.75
  4. Step 4: Simplify right side
    83,682x = 33,837,142,626.56
  5. Step 5: Solve for x
    x = 33,837,142,626.56/83,682
  6. Step 6: Final answer
    x = 404,353.89

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Why These Related Problems?

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