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Finding the Third Proportional to 90,993.38 and 195,159.38

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Solution

The third proportional to 90,993.38 and 195,159.38 is: 418,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,993.38 : 195,159.38 = 195,159.38 : x
  2. Step 2: Convert to fraction form
    90,993.38/195,159.38 = 195,159.38/x
  3. Step 3: Cross multiply
    90,993.38x = 195,159.38 × 195,159.38
  4. Step 4: Simplify right side
    90,993.38x = 38,087,181,650.39
  5. Step 5: Solve for x
    x = 38,087,181,650.39/90,993.38
  6. Step 6: Final answer
    x = 418,570.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.