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Finding the Third Proportional to 193,093.88 and 403,843.22

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Solution

The third proportional to 193,093.88 and 403,843.22 is: 844,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,093.88 : 403,843.22 = 403,843.22 : x
  2. Step 2: Convert to fraction form
    193,093.88/403,843.22 = 403,843.22/x
  3. Step 3: Cross multiply
    193,093.88x = 403,843.22 × 403,843.22
  4. Step 4: Simplify right side
    193,093.88x = 163,089,345,330.36
  5. Step 5: Solve for x
    x = 163,089,345,330.36/193,093.88
  6. Step 6: Final answer
    x = 844,611.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.