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Finding the Third Proportional to 84,786.06 and 176,549.63

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Solution

The third proportional to 84,786.06 and 176,549.63 is: 367,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,786.06 : 176,549.63 = 176,549.63 : x
  2. Step 2: Convert to fraction form
    84,786.06/176,549.63 = 176,549.63/x
  3. Step 3: Cross multiply
    84,786.06x = 176,549.63 × 176,549.63
  4. Step 4: Simplify right side
    84,786.06x = 31,169,770,087.64
  5. Step 5: Solve for x
    x = 31,169,770,087.64/84,786.06
  6. Step 6: Final answer
    x = 367,628.46

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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.