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Finding the Third Proportional to 46,357.13 and 95,171.75

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Solution

The third proportional to 46,357.13 and 95,171.75 is: 195,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,357.13 : 95,171.75 = 95,171.75 : x
  2. Step 2: Convert to fraction form
    46,357.13/95,171.75 = 95,171.75/x
  3. Step 3: Cross multiply
    46,357.13x = 95,171.75 × 95,171.75
  4. Step 4: Simplify right side
    46,357.13x = 9,057,661,998.06
  5. Step 5: Solve for x
    x = 9,057,661,998.06/46,357.13
  6. Step 6: Final answer
    x = 195,388.78

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.