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Finding the Third Proportional to 84,881.99 and 176,736.94

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Solution

The third proportional to 84,881.99 and 176,736.94 is: 367,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,881.99 : 176,736.94 = 176,736.94 : x
  2. Step 2: Convert to fraction form
    84,881.99/176,736.94 = 176,736.94/x
  3. Step 3: Cross multiply
    84,881.99x = 176,736.94 × 176,736.94
  4. Step 4: Simplify right side
    84,881.99x = 31,235,945,076.88
  5. Step 5: Solve for x
    x = 31,235,945,076.88/84,881.99
  6. Step 6: Final answer
    x = 367,992.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.