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Finding the Third Proportional to 44,077 and 96,902

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Solution

The third proportional to 44,077 and 96,902 is: 213,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,077 : 96,902 = 96,902 : x
  2. Step 2: Convert to fraction form
    44,077/96,902 = 96,902/x
  3. Step 3: Cross multiply
    44,077x = 96,902 × 96,902
  4. Step 4: Simplify right side
    44,077x = 9,389,997,604
  5. Step 5: Solve for x
    x = 9,389,997,604/44,077
  6. Step 6: Final answer
    x = 213,036.22

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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.