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Finding the Third Proportional to 41,628 and 89,908

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Solution

The third proportional to 41,628 and 89,908 is: 194,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,628 : 89,908 = 89,908 : x
  2. Step 2: Convert to fraction form
    41,628/89,908 = 89,908/x
  3. Step 3: Cross multiply
    41,628x = 89,908 × 89,908
  4. Step 4: Simplify right side
    41,628x = 8,083,448,464
  5. Step 5: Solve for x
    x = 8,083,448,464/41,628
  6. Step 6: Final answer
    x = 194,182.96

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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.