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Finding the Third Proportional to 195,604.88 and 417,046.22

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Solution

The third proportional to 195,604.88 and 417,046.22 is: 889,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,604.88 : 417,046.22 = 417,046.22 : x
  2. Step 2: Convert to fraction form
    195,604.88/417,046.22 = 417,046.22/x
  3. Step 3: Cross multiply
    195,604.88x = 417,046.22 × 417,046.22
  4. Step 4: Simplify right side
    195,604.88x = 173,927,548,573.67
  5. Step 5: Solve for x
    x = 173,927,548,573.67/195,604.88
  6. Step 6: Final answer
    x = 889,177.98

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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.