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Finding the Third Proportional to 109,009.50 and 231,231

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Solution

The third proportional to 109,009.50 and 231,231 is: 490,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,009.50 : 231,231 = 231,231 : x
  2. Step 2: Convert to fraction form
    109,009.50/231,231 = 231,231/x
  3. Step 3: Cross multiply
    109,009.50x = 231,231 × 231,231
  4. Step 4: Simplify right side
    109,009.50x = 53,467,775,361
  5. Step 5: Solve for x
    x = 53,467,775,361/109,009.50
  6. Step 6: Final answer
    x = 490,487.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.