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Finding the Third Proportional to 192,920.06 and 415,470.94

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Solution

The third proportional to 192,920.06 and 415,470.94 is: 894,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,920.06 : 415,470.94 = 415,470.94 : x
  2. Step 2: Convert to fraction form
    192,920.06/415,470.94 = 415,470.94/x
  3. Step 3: Cross multiply
    192,920.06x = 415,470.94 × 415,470.94
  4. Step 4: Simplify right side
    192,920.06x = 172,616,099,907.13
  5. Step 5: Solve for x
    x = 172,616,099,907.13/192,920.06
  6. Step 6: Final answer
    x = 894,754.53

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