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Finding the Third Proportional to 90,279 and 194,842.13

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Solution

The third proportional to 90,279 and 194,842.13 is: 420,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,279 : 194,842.13 = 194,842.13 : x
  2. Step 2: Convert to fraction form
    90,279/194,842.13 = 194,842.13/x
  3. Step 3: Cross multiply
    90,279x = 194,842.13 × 194,842.13
  4. Step 4: Simplify right side
    90,279x = 37,963,453,674.52
  5. Step 5: Solve for x
    x = 37,963,453,674.52/90,279
  6. Step 6: Final answer
    x = 420,512.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.