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Finding the Third Proportional to 44,328 and 97,644

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Solution

The third proportional to 44,328 and 97,644 is: 215,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,328 : 97,644 = 97,644 : x
  2. Step 2: Convert to fraction form
    44,328/97,644 = 97,644/x
  3. Step 3: Cross multiply
    44,328x = 97,644 × 97,644
  4. Step 4: Simplify right side
    44,328x = 9,534,350,736
  5. Step 5: Solve for x
    x = 9,534,350,736/44,328
  6. Step 6: Final answer
    x = 215,086.42

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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.