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Finding the Third Proportional to 81,690.19 and 176,950.41

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Solution

The third proportional to 81,690.19 and 176,950.41 is: 383,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,690.19 : 176,950.41 = 176,950.41 : x
  2. Step 2: Convert to fraction form
    81,690.19/176,950.41 = 176,950.41/x
  3. Step 3: Cross multiply
    81,690.19x = 176,950.41 × 176,950.41
  4. Step 4: Simplify right side
    81,690.19x = 31,311,446,272.04
  5. Step 5: Solve for x
    x = 31,311,446,272.04/81,690.19
  6. Step 6: Final answer
    x = 383,295.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.