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Finding the Third Proportional to 192,088.13 and 209,310.75

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Solution

The third proportional to 192,088.13 and 209,310.75 is: 228,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,088.13 : 209,310.75 = 209,310.75 : x
  2. Step 2: Convert to fraction form
    192,088.13/209,310.75 = 209,310.75/x
  3. Step 3: Cross multiply
    192,088.13x = 209,310.75 × 209,310.75
  4. Step 4: Simplify right side
    192,088.13x = 43,810,990,065.56
  5. Step 5: Solve for x
    x = 43,810,990,065.56/192,088.13
  6. Step 6: Final answer
    x = 228,077.56

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.