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Finding the Third Proportional to 95,224.50 and 203,566.50

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Solution

The third proportional to 95,224.50 and 203,566.50 is: 435,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,224.50 : 203,566.50 = 203,566.50 : x
  2. Step 2: Convert to fraction form
    95,224.50/203,566.50 = 203,566.50/x
  3. Step 3: Cross multiply
    95,224.50x = 203,566.50 × 203,566.50
  4. Step 4: Simplify right side
    95,224.50x = 41,439,319,922.25
  5. Step 5: Solve for x
    x = 41,439,319,922.25/95,224.50
  6. Step 6: Final answer
    x = 435,174.98

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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.