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Finding the Third Proportional to 82,009.97 and 176,476.22

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Solution

The third proportional to 82,009.97 and 176,476.22 is: 379,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,009.97 : 176,476.22 = 176,476.22 : x
  2. Step 2: Convert to fraction form
    82,009.97/176,476.22 = 176,476.22/x
  3. Step 3: Cross multiply
    82,009.97x = 176,476.22 × 176,476.22
  4. Step 4: Simplify right side
    82,009.97x = 31,143,855,784.30
  5. Step 5: Solve for x
    x = 31,143,855,784.30/82,009.97
  6. Step 6: Final answer
    x = 379,756.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.