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Finding the Third Proportional to 115,651.13 and 181,463.63

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Solution

The third proportional to 115,651.13 and 181,463.63 is: 284,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,651.13 : 181,463.63 = 181,463.63 : x
  2. Step 2: Convert to fraction form
    115,651.13/181,463.63 = 181,463.63/x
  3. Step 3: Cross multiply
    115,651.13x = 181,463.63 × 181,463.63
  4. Step 4: Simplify right side
    115,651.13x = 32,929,047,198.14
  5. Step 5: Solve for x
    x = 32,929,047,198.14/115,651.13
  6. Step 6: Final answer
    x = 284,727.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.