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Finding the Third Proportional to 46,991 and 103,286

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Solution

The third proportional to 46,991 and 103,286 is: 227,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,991 : 103,286 = 103,286 : x
  2. Step 2: Convert to fraction form
    46,991/103,286 = 103,286/x
  3. Step 3: Cross multiply
    46,991x = 103,286 × 103,286
  4. Step 4: Simplify right side
    46,991x = 10,667,997,796
  5. Step 5: Solve for x
    x = 10,667,997,796/46,991
  6. Step 6: Final answer
    x = 227,022.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.