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Finding the Third Proportional to 192,830.63 and 415,293.96

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Solution

The third proportional to 192,830.63 and 415,293.96 is: 894,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,830.63 : 415,293.96 = 415,293.96 : x
  2. Step 2: Convert to fraction form
    192,830.63/415,293.96 = 415,293.96/x
  3. Step 3: Cross multiply
    192,830.63x = 415,293.96 × 415,293.96
  4. Step 4: Simplify right side
    192,830.63x = 172,469,073,991.16
  5. Step 5: Solve for x
    x = 172,469,073,991.16/192,830.63
  6. Step 6: Final answer
    x = 894,407.07

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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.