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Finding the Third Proportional to 116,662.78 and 188,423.72

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Solution

The third proportional to 116,662.78 and 188,423.72 is: 304,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,662.78 : 188,423.72 = 188,423.72 : x
  2. Step 2: Convert to fraction form
    116,662.78/188,423.72 = 188,423.72/x
  3. Step 3: Cross multiply
    116,662.78x = 188,423.72 × 188,423.72
  4. Step 4: Simplify right side
    116,662.78x = 35,503,497,787.58
  5. Step 5: Solve for x
    x = 35,503,497,787.58/116,662.78
  6. Step 6: Final answer
    x = 304,325.83

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.