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Finding the Third Proportional to 44,150 and 96,232

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Solution

The third proportional to 44,150 and 96,232 is: 209,753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,150 : 96,232 = 96,232 : x
  2. Step 2: Convert to fraction form
    44,150/96,232 = 96,232/x
  3. Step 3: Cross multiply
    44,150x = 96,232 × 96,232
  4. Step 4: Simplify right side
    44,150x = 9,260,597,824
  5. Step 5: Solve for x
    x = 9,260,597,824/44,150
  6. Step 6: Final answer
    x = 209,753.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.