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Finding the Third Proportional to 44,652 and 99,096

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Solution

The third proportional to 44,652 and 99,096 is: 219,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,652 : 99,096 = 99,096 : x
  2. Step 2: Convert to fraction form
    44,652/99,096 = 99,096/x
  3. Step 3: Cross multiply
    44,652x = 99,096 × 99,096
  4. Step 4: Simplify right side
    44,652x = 9,820,017,216
  5. Step 5: Solve for x
    x = 9,820,017,216/44,652
  6. Step 6: Final answer
    x = 219,923.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.