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Finding the Third Proportional to 46,647 and 119,616.75

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Solution

The third proportional to 46,647 and 119,616.75 is: 306,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647 : 119,616.75 = 119,616.75 : x
  2. Step 2: Convert to fraction form
    46,647/119,616.75 = 119,616.75/x
  3. Step 3: Cross multiply
    46,647x = 119,616.75 × 119,616.75
  4. Step 4: Simplify right side
    46,647x = 14,308,166,880.56
  5. Step 5: Solve for x
    x = 14,308,166,880.56/46,647
  6. Step 6: Final answer
    x = 306,732.84

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.