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Finding the Third Proportional to 99,556.59 and 214,961.34

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Solution

The third proportional to 99,556.59 and 214,961.34 is: 464,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,556.59 : 214,961.34 = 214,961.34 : x
  2. Step 2: Convert to fraction form
    99,556.59/214,961.34 = 214,961.34/x
  3. Step 3: Cross multiply
    99,556.59x = 214,961.34 × 214,961.34
  4. Step 4: Simplify right side
    99,556.59x = 46,208,379,306.81
  5. Step 5: Solve for x
    x = 46,208,379,306.81/99,556.59
  6. Step 6: Final answer
    x = 464,141.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.