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Finding the Third Proportional to 40,186.13 and 84,882.94

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Solution

The third proportional to 40,186.13 and 84,882.94 is: 179,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,186.13 : 84,882.94 = 84,882.94 : x
  2. Step 2: Convert to fraction form
    40,186.13/84,882.94 = 84,882.94/x
  3. Step 3: Cross multiply
    40,186.13x = 84,882.94 × 84,882.94
  4. Step 4: Simplify right side
    40,186.13x = 7,205,113,078.63
  5. Step 5: Solve for x
    x = 7,205,113,078.63/40,186.13
  6. Step 6: Final answer
    x = 179,293.55

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