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Finding the Third Proportional to 46,489.50 and 95,429.25

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Solution

The third proportional to 46,489.50 and 95,429.25 is: 195,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,489.50 : 95,429.25 = 95,429.25 : x
  2. Step 2: Convert to fraction form
    46,489.50/95,429.25 = 95,429.25/x
  3. Step 3: Cross multiply
    46,489.50x = 95,429.25 × 95,429.25
  4. Step 4: Simplify right side
    46,489.50x = 9,106,741,755.56
  5. Step 5: Solve for x
    x = 9,106,741,755.56/46,489.50
  6. Step 6: Final answer
    x = 195,888.14

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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.