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Finding the Third Proportional to 95,109.50 and 224,923

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Solution

The third proportional to 95,109.50 and 224,923 is: 531,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,109.50 : 224,923 = 224,923 : x
  2. Step 2: Convert to fraction form
    95,109.50/224,923 = 224,923/x
  3. Step 3: Cross multiply
    95,109.50x = 224,923 × 224,923
  4. Step 4: Simplify right side
    95,109.50x = 50,590,355,929
  5. Step 5: Solve for x
    x = 50,590,355,929/95,109.50
  6. Step 6: Final answer
    x = 531,916.96

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.