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Finding the Third Proportional to 86,931.75 and 181,395.75

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Solution

The third proportional to 86,931.75 and 181,395.75 is: 378,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,931.75 : 181,395.75 = 181,395.75 : x
  2. Step 2: Convert to fraction form
    86,931.75/181,395.75 = 181,395.75/x
  3. Step 3: Cross multiply
    86,931.75x = 181,395.75 × 181,395.75
  4. Step 4: Simplify right side
    86,931.75x = 32,904,418,118.06
  5. Step 5: Solve for x
    x = 32,904,418,118.06/86,931.75
  6. Step 6: Final answer
    x = 378,508.64

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.