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Finding the Third Proportional to 102,043.13 and 195,081.75

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Solution

The third proportional to 102,043.13 and 195,081.75 is: 372,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,043.13 : 195,081.75 = 195,081.75 : x
  2. Step 2: Convert to fraction form
    102,043.13/195,081.75 = 195,081.75/x
  3. Step 3: Cross multiply
    102,043.13x = 195,081.75 × 195,081.75
  4. Step 4: Simplify right side
    102,043.13x = 38,056,889,183.06
  5. Step 5: Solve for x
    x = 38,056,889,183.06/102,043.13
  6. Step 6: Final answer
    x = 372,949.08

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.