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Finding the Third Proportional to 83,379.38 and 183,364.38

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Solution

The third proportional to 83,379.38 and 183,364.38 is: 403,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,379.38 : 183,364.38 = 183,364.38 : x
  2. Step 2: Convert to fraction form
    83,379.38/183,364.38 = 183,364.38/x
  3. Step 3: Cross multiply
    83,379.38x = 183,364.38 × 183,364.38
  4. Step 4: Simplify right side
    83,379.38x = 33,622,496,884.21
  5. Step 5: Solve for x
    x = 33,622,496,884.21/83,379.38
  6. Step 6: Final answer
    x = 403,247.17

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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.