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Finding the Third Proportional to 96,881.50 and 212,858.75

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Solution

The third proportional to 96,881.50 and 212,858.75 is: 467,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,881.50 : 212,858.75 = 212,858.75 : x
  2. Step 2: Convert to fraction form
    96,881.50/212,858.75 = 212,858.75/x
  3. Step 3: Cross multiply
    96,881.50x = 212,858.75 × 212,858.75
  4. Step 4: Simplify right side
    96,881.50x = 45,308,847,451.56
  5. Step 5: Solve for x
    x = 45,308,847,451.56/96,881.50
  6. Step 6: Final answer
    x = 467,672.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.