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Finding the Third Proportional to 40,072.22 and 86,500.41

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Solution

The third proportional to 40,072.22 and 86,500.41 is: 186,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,072.22 : 86,500.41 = 86,500.41 : x
  2. Step 2: Convert to fraction form
    40,072.22/86,500.41 = 86,500.41/x
  3. Step 3: Cross multiply
    40,072.22x = 86,500.41 × 86,500.41
  4. Step 4: Simplify right side
    40,072.22x = 7,482,320,281.42
  5. Step 5: Solve for x
    x = 7,482,320,281.42/40,072.22
  6. Step 6: Final answer
    x = 186,720.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.