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Finding the Third Proportional to 99,500.50 and 204,841

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Solution

The third proportional to 99,500.50 and 204,841 is: 421,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,500.50 : 204,841 = 204,841 : x
  2. Step 2: Convert to fraction form
    99,500.50/204,841 = 204,841/x
  3. Step 3: Cross multiply
    99,500.50x = 204,841 × 204,841
  4. Step 4: Simplify right side
    99,500.50x = 41,959,835,281
  5. Step 5: Solve for x
    x = 41,959,835,281/99,500.50
  6. Step 6: Final answer
    x = 421,704.77

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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.