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Finding the Third Proportional to 44,366 and 95,836

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Solution

The third proportional to 44,366 and 95,836 is: 207,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,366 : 95,836 = 95,836 : x
  2. Step 2: Convert to fraction form
    44,366/95,836 = 95,836/x
  3. Step 3: Cross multiply
    44,366x = 95,836 × 95,836
  4. Step 4: Simplify right side
    44,366x = 9,184,538,896
  5. Step 5: Solve for x
    x = 9,184,538,896/44,366
  6. Step 6: Final answer
    x = 207,017.51

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