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Finding the Third Proportional to 103,910 and 227,260

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Solution

The third proportional to 103,910 and 227,260 is: 497,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,910 : 227,260 = 227,260 : x
  2. Step 2: Convert to fraction form
    103,910/227,260 = 227,260/x
  3. Step 3: Cross multiply
    103,910x = 227,260 × 227,260
  4. Step 4: Simplify right side
    103,910x = 51,647,107,600
  5. Step 5: Solve for x
    x = 51,647,107,600/103,910
  6. Step 6: Final answer
    x = 497,036.93

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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.