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Finding the Third Proportional to 95,971.50 and 224,201.25

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Solution

The third proportional to 95,971.50 and 224,201.25 is: 523,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,971.50 : 224,201.25 = 224,201.25 : x
  2. Step 2: Convert to fraction form
    95,971.50/224,201.25 = 224,201.25/x
  3. Step 3: Cross multiply
    95,971.50x = 224,201.25 × 224,201.25
  4. Step 4: Simplify right side
    95,971.50x = 50,266,200,501.56
  5. Step 5: Solve for x
    x = 50,266,200,501.56/95,971.50
  6. Step 6: Final answer
    x = 523,761.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.