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Finding the Third Proportional to 192,186 and 413,896.50

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Solution

The third proportional to 192,186 and 413,896.50 is: 891,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,186 : 413,896.50 = 413,896.50 : x
  2. Step 2: Convert to fraction form
    192,186/413,896.50 = 413,896.50/x
  3. Step 3: Cross multiply
    192,186x = 413,896.50 × 413,896.50
  4. Step 4: Simplify right side
    192,186x = 171,310,312,712.25
  5. Step 5: Solve for x
    x = 171,310,312,712.25/192,186
  6. Step 6: Final answer
    x = 891,377.69

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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.