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Finding the Third Proportional to 83,790.56 and 181,651.50

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Solution

The third proportional to 83,790.56 and 181,651.50 is: 393,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,790.56 : 181,651.50 = 181,651.50 : x
  2. Step 2: Convert to fraction form
    83,790.56/181,651.50 = 181,651.50/x
  3. Step 3: Cross multiply
    83,790.56x = 181,651.50 × 181,651.50
  4. Step 4: Simplify right side
    83,790.56x = 32,997,267,452.25
  5. Step 5: Solve for x
    x = 32,997,267,452.25/83,790.56
  6. Step 6: Final answer
    x = 393,806.49

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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.