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Finding the Third Proportional to 99,256.50 and 219,249

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Solution

The third proportional to 99,256.50 and 219,249 is: 484,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,256.50 : 219,249 = 219,249 : x
  2. Step 2: Convert to fraction form
    99,256.50/219,249 = 219,249/x
  3. Step 3: Cross multiply
    99,256.50x = 219,249 × 219,249
  4. Step 4: Simplify right side
    99,256.50x = 48,070,124,001
  5. Step 5: Solve for x
    x = 48,070,124,001/99,256.50
  6. Step 6: Final answer
    x = 484,302.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.