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Finding the Third Proportional to 83,713.50 and 183,738.38

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Solution

The third proportional to 83,713.50 and 183,738.38 is: 403,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,713.50 : 183,738.38 = 183,738.38 : x
  2. Step 2: Convert to fraction form
    83,713.50/183,738.38 = 183,738.38/x
  3. Step 3: Cross multiply
    83,713.50x = 183,738.38 × 183,738.38
  4. Step 4: Simplify right side
    83,713.50x = 33,759,790,447.64
  5. Step 5: Solve for x
    x = 33,759,790,447.64/83,713.50
  6. Step 6: Final answer
    x = 403,277.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.