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Finding the Third Proportional to 80,488.05 and 174,804.33

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Solution

The third proportional to 80,488.05 and 174,804.33 is: 379,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,488.05 : 174,804.33 = 174,804.33 : x
  2. Step 2: Convert to fraction form
    80,488.05/174,804.33 = 174,804.33/x
  3. Step 3: Cross multiply
    80,488.05x = 174,804.33 × 174,804.33
  4. Step 4: Simplify right side
    80,488.05x = 30,556,553,131.23
  5. Step 5: Solve for x
    x = 30,556,553,131.23/80,488.05
  6. Step 6: Final answer
    x = 379,640.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.