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Finding the Third Proportional to 95,905.50 and 224,004.50

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Solution

The third proportional to 95,905.50 and 224,004.50 is: 523,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,905.50 : 224,004.50 = 224,004.50 : x
  2. Step 2: Convert to fraction form
    95,905.50/224,004.50 = 224,004.50/x
  3. Step 3: Cross multiply
    95,905.50x = 224,004.50 × 224,004.50
  4. Step 4: Simplify right side
    95,905.50x = 50,178,016,020.25
  5. Step 5: Solve for x
    x = 50,178,016,020.25/95,905.50
  6. Step 6: Final answer
    x = 523,202.69

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