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Finding the Third Proportional to 85,067.50 and 186,415.75

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Solution

The third proportional to 85,067.50 and 186,415.75 is: 408,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,067.50 : 186,415.75 = 186,415.75 : x
  2. Step 2: Convert to fraction form
    85,067.50/186,415.75 = 186,415.75/x
  3. Step 3: Cross multiply
    85,067.50x = 186,415.75 × 186,415.75
  4. Step 4: Simplify right side
    85,067.50x = 34,750,831,848.06
  5. Step 5: Solve for x
    x = 34,750,831,848.06/85,067.50
  6. Step 6: Final answer
    x = 408,508.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.