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Finding the Third Proportional to 44,066 and 96,880

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Solution

The third proportional to 44,066 and 96,880 is: 212,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,066 : 96,880 = 96,880 : x
  2. Step 2: Convert to fraction form
    44,066/96,880 = 96,880/x
  3. Step 3: Cross multiply
    44,066x = 96,880 × 96,880
  4. Step 4: Simplify right side
    44,066x = 9,385,734,400
  5. Step 5: Solve for x
    x = 9,385,734,400/44,066
  6. Step 6: Final answer
    x = 212,992.66

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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.