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Finding the Third Proportional to 128,859.19 and 196,023.38

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Solution

The third proportional to 128,859.19 and 196,023.38 is: 298,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,859.19 : 196,023.38 = 196,023.38 : x
  2. Step 2: Convert to fraction form
    128,859.19/196,023.38 = 196,023.38/x
  3. Step 3: Cross multiply
    128,859.19x = 196,023.38 × 196,023.38
  4. Step 4: Simplify right side
    128,859.19x = 38,425,163,546.39
  5. Step 5: Solve for x
    x = 38,425,163,546.39/128,859.19
  6. Step 6: Final answer
    x = 298,194.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.