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Finding the Third Proportional to 192,645.84 and 416,161.55

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Solution

The third proportional to 192,645.84 and 416,161.55 is: 899,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,645.84 : 416,161.55 = 416,161.55 : x
  2. Step 2: Convert to fraction form
    192,645.84/416,161.55 = 416,161.55/x
  3. Step 3: Cross multiply
    192,645.84x = 416,161.55 × 416,161.55
  4. Step 4: Simplify right side
    192,645.84x = 173,190,433,097.39
  5. Step 5: Solve for x
    x = 173,190,433,097.39/192,645.84
  6. Step 6: Final answer
    x = 899,009.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.