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Finding the Third Proportional to 43,912 and 96,224

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Solution

The third proportional to 43,912 and 96,224 is: 210,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,912 : 96,224 = 96,224 : x
  2. Step 2: Convert to fraction form
    43,912/96,224 = 96,224/x
  3. Step 3: Cross multiply
    43,912x = 96,224 × 96,224
  4. Step 4: Simplify right side
    43,912x = 9,259,058,176
  5. Step 5: Solve for x
    x = 9,259,058,176/43,912
  6. Step 6: Final answer
    x = 210,854.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.