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Finding the Third Proportional to 41,193 and 88,798

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Solution

The third proportional to 41,193 and 88,798 is: 191,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,193 : 88,798 = 88,798 : x
  2. Step 2: Convert to fraction form
    41,193/88,798 = 88,798/x
  3. Step 3: Cross multiply
    41,193x = 88,798 × 88,798
  4. Step 4: Simplify right side
    41,193x = 7,885,084,804
  5. Step 5: Solve for x
    x = 7,885,084,804/41,193
  6. Step 6: Final answer
    x = 191,418.08

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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.