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Finding the Third Proportional to 40,190.63 and 84,891.38

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Solution

The third proportional to 40,190.63 and 84,891.38 is: 179,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,190.63 : 84,891.38 = 84,891.38 : x
  2. Step 2: Convert to fraction form
    40,190.63/84,891.38 = 84,891.38/x
  3. Step 3: Cross multiply
    40,190.63x = 84,891.38 × 84,891.38
  4. Step 4: Simplify right side
    40,190.63x = 7,206,545,549.39
  5. Step 5: Solve for x
    x = 7,206,545,549.39/40,190.63
  6. Step 6: Final answer
    x = 179,309.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.