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Finding the Third Proportional to 99,916.50 and 214,003.50

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Solution

The third proportional to 99,916.50 and 214,003.50 is: 458,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,916.50 : 214,003.50 = 214,003.50 : x
  2. Step 2: Convert to fraction form
    99,916.50/214,003.50 = 214,003.50/x
  3. Step 3: Cross multiply
    99,916.50x = 214,003.50 × 214,003.50
  4. Step 4: Simplify right side
    99,916.50x = 45,797,498,012.25
  5. Step 5: Solve for x
    x = 45,797,498,012.25/99,916.50
  6. Step 6: Final answer
    x = 458,357.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.