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Finding the Third Proportional to 41,705.44 and 98,403.89

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Solution

The third proportional to 41,705.44 and 98,403.89 is: 232,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,705.44 : 98,403.89 = 98,403.89 : x
  2. Step 2: Convert to fraction form
    41,705.44/98,403.89 = 98,403.89/x
  3. Step 3: Cross multiply
    41,705.44x = 98,403.89 × 98,403.89
  4. Step 4: Simplify right side
    41,705.44x = 9,683,325,690.14
  5. Step 5: Solve for x
    x = 9,683,325,690.14/41,705.44
  6. Step 6: Final answer
    x = 232,183.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.