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Finding the Third Proportional to 103,916 and 224,419

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Solution

The third proportional to 103,916 and 224,419 is: 484,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,916 : 224,419 = 224,419 : x
  2. Step 2: Convert to fraction form
    103,916/224,419 = 224,419/x
  3. Step 3: Cross multiply
    103,916x = 224,419 × 224,419
  4. Step 4: Simplify right side
    103,916x = 50,363,887,561
  5. Step 5: Solve for x
    x = 50,363,887,561/103,916
  6. Step 6: Final answer
    x = 484,659.61

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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.