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Finding the Third Proportional to 103,900 and 227,239

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Solution

The third proportional to 103,900 and 227,239 is: 496,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,900 : 227,239 = 227,239 : x
  2. Step 2: Convert to fraction form
    103,900/227,239 = 227,239/x
  3. Step 3: Cross multiply
    103,900x = 227,239 × 227,239
  4. Step 4: Simplify right side
    103,900x = 51,637,563,121
  5. Step 5: Solve for x
    x = 51,637,563,121/103,900
  6. Step 6: Final answer
    x = 496,992.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.