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Finding the Third Proportional to 90,974.39 and 197,410.92

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Solution

The third proportional to 90,974.39 and 197,410.92 is: 428,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,974.39 : 197,410.92 = 197,410.92 : x
  2. Step 2: Convert to fraction form
    90,974.39/197,410.92 = 197,410.92/x
  3. Step 3: Cross multiply
    90,974.39x = 197,410.92 × 197,410.92
  4. Step 4: Simplify right side
    90,974.39x = 38,971,072,075.54
  5. Step 5: Solve for x
    x = 38,971,072,075.54/90,974.39
  6. Step 6: Final answer
    x = 428,374.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.