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Finding the Third Proportional to 88,747.50 and 193,043.50

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Solution

The third proportional to 88,747.50 and 193,043.50 is: 419,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,747.50 : 193,043.50 = 193,043.50 : x
  2. Step 2: Convert to fraction form
    88,747.50/193,043.50 = 193,043.50/x
  3. Step 3: Cross multiply
    88,747.50x = 193,043.50 × 193,043.50
  4. Step 4: Simplify right side
    88,747.50x = 37,265,792,892.25
  5. Step 5: Solve for x
    x = 37,265,792,892.25/88,747.50
  6. Step 6: Final answer
    x = 419,908.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.