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Finding the Third Proportional to 95,289.75 and 203,233.50

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Solution

The third proportional to 95,289.75 and 203,233.50 is: 433,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,289.75 : 203,233.50 = 203,233.50 : x
  2. Step 2: Convert to fraction form
    95,289.75/203,233.50 = 203,233.50/x
  3. Step 3: Cross multiply
    95,289.75x = 203,233.50 × 203,233.50
  4. Step 4: Simplify right side
    95,289.75x = 41,303,855,522.25
  5. Step 5: Solve for x
    x = 41,303,855,522.25/95,289.75
  6. Step 6: Final answer
    x = 433,455.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.