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Finding the Third Proportional to 90,023.75 and 194,004.13

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Solution

The third proportional to 90,023.75 and 194,004.13 is: 418,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,023.75 : 194,004.13 = 194,004.13 : x
  2. Step 2: Convert to fraction form
    90,023.75/194,004.13 = 194,004.13/x
  3. Step 3: Cross multiply
    90,023.75x = 194,004.13 × 194,004.13
  4. Step 4: Simplify right side
    90,023.75x = 37,637,600,517.02
  5. Step 5: Solve for x
    x = 37,637,600,517.02/90,023.75
  6. Step 6: Final answer
    x = 418,085.23

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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.