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Finding the Third Proportional to 90,339.47 and 194,553.56

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Solution

The third proportional to 90,339.47 and 194,553.56 is: 418,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,339.47 : 194,553.56 = 194,553.56 : x
  2. Step 2: Convert to fraction form
    90,339.47/194,553.56 = 194,553.56/x
  3. Step 3: Cross multiply
    90,339.47x = 194,553.56 × 194,553.56
  4. Step 4: Simplify right side
    90,339.47x = 37,851,088,681.44
  5. Step 5: Solve for x
    x = 37,851,088,681.44/90,339.47
  6. Step 6: Final answer
    x = 418,987.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.