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Finding the Third Proportional to 95,919 and 224,035.50

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Solution

The third proportional to 95,919 and 224,035.50 is: 523,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,919 : 224,035.50 = 224,035.50 : x
  2. Step 2: Convert to fraction form
    95,919/224,035.50 = 224,035.50/x
  3. Step 3: Cross multiply
    95,919x = 224,035.50 × 224,035.50
  4. Step 4: Simplify right side
    95,919x = 50,191,905,260.25
  5. Step 5: Solve for x
    x = 50,191,905,260.25/95,919
  6. Step 6: Final answer
    x = 523,273.86

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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.