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Finding the Third Proportional to 99,501.50 and 204,843

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Solution

The third proportional to 99,501.50 and 204,843 is: 421,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,501.50 : 204,843 = 204,843 : x
  2. Step 2: Convert to fraction form
    99,501.50/204,843 = 204,843/x
  3. Step 3: Cross multiply
    99,501.50x = 204,843 × 204,843
  4. Step 4: Simplify right side
    99,501.50x = 41,960,654,649
  5. Step 5: Solve for x
    x = 41,960,654,649/99,501.50
  6. Step 6: Final answer
    x = 421,708.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.