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Finding the Third Proportional to 95,109.75 and 224,924.25

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Solution

The third proportional to 95,109.75 and 224,924.25 is: 531,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,109.75 : 224,924.25 = 224,924.25 : x
  2. Step 2: Convert to fraction form
    95,109.75/224,924.25 = 224,924.25/x
  3. Step 3: Cross multiply
    95,109.75x = 224,924.25 × 224,924.25
  4. Step 4: Simplify right side
    95,109.75x = 50,590,918,238.06
  5. Step 5: Solve for x
    x = 50,590,918,238.06/95,109.75
  6. Step 6: Final answer
    x = 531,921.47

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Why These Related Problems?

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