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Finding the Third Proportional to 95,253.75 and 203,629.50

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Solution

The third proportional to 95,253.75 and 203,629.50 is: 435,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,253.75 : 203,629.50 = 203,629.50 : x
  2. Step 2: Convert to fraction form
    95,253.75/203,629.50 = 203,629.50/x
  3. Step 3: Cross multiply
    95,253.75x = 203,629.50 × 203,629.50
  4. Step 4: Simplify right side
    95,253.75x = 41,464,973,270.25
  5. Step 5: Solve for x
    x = 41,464,973,270.25/95,253.75
  6. Step 6: Final answer
    x = 435,310.67

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Why These Related Problems?

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