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Finding the Third Proportional to 44,398 and 96,086

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Solution

The third proportional to 44,398 and 96,086 is: 207,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,398 : 96,086 = 96,086 : x
  2. Step 2: Convert to fraction form
    44,398/96,086 = 96,086/x
  3. Step 3: Cross multiply
    44,398x = 96,086 × 96,086
  4. Step 4: Simplify right side
    44,398x = 9,232,519,396
  5. Step 5: Solve for x
    x = 9,232,519,396/44,398
  6. Step 6: Final answer
    x = 207,948.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.