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Finding the Third Proportional to 86,816.25 and 178,816.50

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Solution

The third proportional to 86,816.25 and 178,816.50 is: 368,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,816.25 : 178,816.50 = 178,816.50 : x
  2. Step 2: Convert to fraction form
    86,816.25/178,816.50 = 178,816.50/x
  3. Step 3: Cross multiply
    86,816.25x = 178,816.50 × 178,816.50
  4. Step 4: Simplify right side
    86,816.25x = 31,975,340,672.25
  5. Step 5: Solve for x
    x = 31,975,340,672.25/86,816.25
  6. Step 6: Final answer
    x = 368,310.55

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.