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Finding the Third Proportional to 116,982 and 188,392.50

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Solution

The third proportional to 116,982 and 188,392.50 is: 303,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,982 : 188,392.50 = 188,392.50 : x
  2. Step 2: Convert to fraction form
    116,982/188,392.50 = 188,392.50/x
  3. Step 3: Cross multiply
    116,982x = 188,392.50 × 188,392.50
  4. Step 4: Simplify right side
    116,982x = 35,491,734,056.25
  5. Step 5: Solve for x
    x = 35,491,734,056.25/116,982
  6. Step 6: Final answer
    x = 303,394.83

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.