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Finding the Third Proportional to 83,181.94 and 181,566.56

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Solution

The third proportional to 83,181.94 and 181,566.56 is: 396,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,181.94 : 181,566.56 = 181,566.56 : x
  2. Step 2: Convert to fraction form
    83,181.94/181,566.56 = 181,566.56/x
  3. Step 3: Cross multiply
    83,181.94x = 181,566.56 × 181,566.56
  4. Step 4: Simplify right side
    83,181.94x = 32,966,416,618.07
  5. Step 5: Solve for x
    x = 32,966,416,618.07/83,181.94
  6. Step 6: Final answer
    x = 396,317.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.