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Finding the Third Proportional to 99,904.50 and 214,059.50

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Solution

The third proportional to 99,904.50 and 214,059.50 is: 458,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,904.50 : 214,059.50 = 214,059.50 : x
  2. Step 2: Convert to fraction form
    99,904.50/214,059.50 = 214,059.50/x
  3. Step 3: Cross multiply
    99,904.50x = 214,059.50 × 214,059.50
  4. Step 4: Simplify right side
    99,904.50x = 45,821,469,540.25
  5. Step 5: Solve for x
    x = 45,821,469,540.25/99,904.50
  6. Step 6: Final answer
    x = 458,652.71

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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.