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Finding the Third Proportional to 90,244.13 and 194,784.75

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Solution

The third proportional to 90,244.13 and 194,784.75 is: 420,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,244.13 : 194,784.75 = 194,784.75 : x
  2. Step 2: Convert to fraction form
    90,244.13/194,784.75 = 194,784.75/x
  3. Step 3: Cross multiply
    90,244.13x = 194,784.75 × 194,784.75
  4. Step 4: Simplify right side
    90,244.13x = 37,941,098,832.56
  5. Step 5: Solve for x
    x = 37,941,098,832.56/90,244.13
  6. Step 6: Final answer
    x = 420,427.36

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Why These Related Problems?

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