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Finding the Third Proportional to 40,310.25 and 83,890.50

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Solution

The third proportional to 40,310.25 and 83,890.50 is: 174,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,310.25 : 83,890.50 = 83,890.50 : x
  2. Step 2: Convert to fraction form
    40,310.25/83,890.50 = 83,890.50/x
  3. Step 3: Cross multiply
    40,310.25x = 83,890.50 × 83,890.50
  4. Step 4: Simplify right side
    40,310.25x = 7,037,615,990.25
  5. Step 5: Solve for x
    x = 7,037,615,990.25/40,310.25
  6. Step 6: Final answer
    x = 174,586.27

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.