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Finding the Third Proportional to 45,433.50 and 95,828.25

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Solution

The third proportional to 45,433.50 and 95,828.25 is: 202,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,433.50 : 95,828.25 = 95,828.25 : x
  2. Step 2: Convert to fraction form
    45,433.50/95,828.25 = 95,828.25/x
  3. Step 3: Cross multiply
    45,433.50x = 95,828.25 × 95,828.25
  4. Step 4: Simplify right side
    45,433.50x = 9,183,053,498.06
  5. Step 5: Solve for x
    x = 9,183,053,498.06/45,433.50
  6. Step 6: Final answer
    x = 202,120.76

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.