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Finding the Third Proportional to 40,801.13 and 86,500.50

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Solution

The third proportional to 40,801.13 and 86,500.50 is: 183,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,801.13 : 86,500.50 = 86,500.50 : x
  2. Step 2: Convert to fraction form
    40,801.13/86,500.50 = 86,500.50/x
  3. Step 3: Cross multiply
    40,801.13x = 86,500.50 × 86,500.50
  4. Step 4: Simplify right side
    40,801.13x = 7,482,336,500.25
  5. Step 5: Solve for x
    x = 7,482,336,500.25/40,801.13
  6. Step 6: Final answer
    x = 183,385.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.