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Finding the Third Proportional to 90,493.88 and 193,006.13

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Solution

The third proportional to 90,493.88 and 193,006.13 is: 411,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,493.88 : 193,006.13 = 193,006.13 : x
  2. Step 2: Convert to fraction form
    90,493.88/193,006.13 = 193,006.13/x
  3. Step 3: Cross multiply
    90,493.88x = 193,006.13 × 193,006.13
  4. Step 4: Simplify right side
    90,493.88x = 37,251,364,287.52
  5. Step 5: Solve for x
    x = 37,251,364,287.52/90,493.88
  6. Step 6: Final answer
    x = 411,645.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.