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Finding the Third Proportional to 41,691 and 91,290

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Solution

The third proportional to 41,691 and 91,290 is: 199,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,691 : 91,290 = 91,290 : x
  2. Step 2: Convert to fraction form
    41,691/91,290 = 91,290/x
  3. Step 3: Cross multiply
    41,691x = 91,290 × 91,290
  4. Step 4: Simplify right side
    41,691x = 8,333,864,100
  5. Step 5: Solve for x
    x = 8,333,864,100/41,691
  6. Step 6: Final answer
    x = 199,896.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.