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Finding the Third Proportional to 46,885 and 101,168

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Solution

The third proportional to 46,885 and 101,168 is: 218,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,885 : 101,168 = 101,168 : x
  2. Step 2: Convert to fraction form
    46,885/101,168 = 101,168/x
  3. Step 3: Cross multiply
    46,885x = 101,168 × 101,168
  4. Step 4: Simplify right side
    46,885x = 10,234,964,224
  5. Step 5: Solve for x
    x = 10,234,964,224/46,885
  6. Step 6: Final answer
    x = 218,299.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.