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Finding the Third Proportional to 88,165.69 and 199,546.31

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Solution

The third proportional to 88,165.69 and 199,546.31 is: 451,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,165.69 : 199,546.31 = 199,546.31 : x
  2. Step 2: Convert to fraction form
    88,165.69/199,546.31 = 199,546.31/x
  3. Step 3: Cross multiply
    88,165.69x = 199,546.31 × 199,546.31
  4. Step 4: Simplify right side
    88,165.69x = 39,818,730,832.35
  5. Step 5: Solve for x
    x = 39,818,730,832.35/88,165.69
  6. Step 6: Final answer
    x = 451,635.23

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.