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Finding the Third Proportional to 86,872.50 and 190,353.38

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Solution

The third proportional to 86,872.50 and 190,353.38 is: 417,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,872.50 : 190,353.38 = 190,353.38 : x
  2. Step 2: Convert to fraction form
    86,872.50/190,353.38 = 190,353.38/x
  3. Step 3: Cross multiply
    86,872.50x = 190,353.38 × 190,353.38
  4. Step 4: Simplify right side
    86,872.50x = 36,234,407,373.89
  5. Step 5: Solve for x
    x = 36,234,407,373.89/86,872.50
  6. Step 6: Final answer
    x = 417,098.71

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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.