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Finding the Third Proportional to 86,392.69 and 135,232.31

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Solution

The third proportional to 86,392.69 and 135,232.31 is: 211,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,392.69 : 135,232.31 = 135,232.31 : x
  2. Step 2: Convert to fraction form
    86,392.69/135,232.31 = 135,232.31/x
  3. Step 3: Cross multiply
    86,392.69x = 135,232.31 × 135,232.31
  4. Step 4: Simplify right side
    86,392.69x = 18,287,778,344.10
  5. Step 5: Solve for x
    x = 18,287,778,344.10/86,392.69
  6. Step 6: Final answer
    x = 211,682.02

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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.