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Finding the Third Proportional to 90,939.38 and 198,164.25

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Solution

The third proportional to 90,939.38 and 198,164.25 is: 431,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,939.38 : 198,164.25 = 198,164.25 : x
  2. Step 2: Convert to fraction form
    90,939.38/198,164.25 = 198,164.25/x
  3. Step 3: Cross multiply
    90,939.38x = 198,164.25 × 198,164.25
  4. Step 4: Simplify right side
    90,939.38x = 39,269,069,978.06
  5. Step 5: Solve for x
    x = 39,269,069,978.06/90,939.38
  6. Step 6: Final answer
    x = 431,815.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.