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Finding the Third Proportional to 86,763.94 and 175,942.69

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Solution

The third proportional to 86,763.94 and 175,942.69 is: 356,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,763.94 : 175,942.69 = 175,942.69 : x
  2. Step 2: Convert to fraction form
    86,763.94/175,942.69 = 175,942.69/x
  3. Step 3: Cross multiply
    86,763.94x = 175,942.69 × 175,942.69
  4. Step 4: Simplify right side
    86,763.94x = 30,955,829,284.72
  5. Step 5: Solve for x
    x = 30,955,829,284.72/86,763.94
  6. Step 6: Final answer
    x = 356,782.21

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.