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Finding the Third Proportional to 86,238.75 and 130,816.13

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Solution

The third proportional to 86,238.75 and 130,816.13 is: 198,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,238.75 : 130,816.13 = 130,816.13 : x
  2. Step 2: Convert to fraction form
    86,238.75/130,816.13 = 130,816.13/x
  3. Step 3: Cross multiply
    86,238.75x = 130,816.13 × 130,816.13
  4. Step 4: Simplify right side
    86,238.75x = 17,112,858,560.02
  5. Step 5: Solve for x
    x = 17,112,858,560.02/86,238.75
  6. Step 6: Final answer
    x = 198,435.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.