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Finding the Third Proportional to 46,861.88 and 98,016.75

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Solution

The third proportional to 46,861.88 and 98,016.75 is: 205,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,861.88 : 98,016.75 = 98,016.75 : x
  2. Step 2: Convert to fraction form
    46,861.88/98,016.75 = 98,016.75/x
  3. Step 3: Cross multiply
    46,861.88x = 98,016.75 × 98,016.75
  4. Step 4: Simplify right side
    46,861.88x = 9,607,283,280.56
  5. Step 5: Solve for x
    x = 9,607,283,280.56/46,861.88
  6. Step 6: Final answer
    x = 205,012.78

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.