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Finding the Third Proportional to 81,322.10 and 176,219.93

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Solution

The third proportional to 81,322.10 and 176,219.93 is: 381,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,322.10 : 176,219.93 = 176,219.93 : x
  2. Step 2: Convert to fraction form
    81,322.10/176,219.93 = 176,219.93/x
  3. Step 3: Cross multiply
    81,322.10x = 176,219.93 × 176,219.93
  4. Step 4: Simplify right side
    81,322.10x = 31,053,463,619.07
  5. Step 5: Solve for x
    x = 31,053,463,619.07/81,322.10
  6. Step 6: Final answer
    x = 381,857.61

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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.