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Finding the Third Proportional to 192,182.63 and 413,889.75

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Solution

The third proportional to 192,182.63 and 413,889.75 is: 891,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,182.63 : 413,889.75 = 413,889.75 : x
  2. Step 2: Convert to fraction form
    192,182.63/413,889.75 = 413,889.75/x
  3. Step 3: Cross multiply
    192,182.63x = 413,889.75 × 413,889.75
  4. Step 4: Simplify right side
    192,182.63x = 171,304,725,155.06
  5. Step 5: Solve for x
    x = 171,304,725,155.06/192,182.63
  6. Step 6: Final answer
    x = 891,364.27

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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.