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Finding the Third Proportional to 103,048 and 219,596

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Solution

The third proportional to 103,048 and 219,596 is: 467,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,048 : 219,596 = 219,596 : x
  2. Step 2: Convert to fraction form
    103,048/219,596 = 219,596/x
  3. Step 3: Cross multiply
    103,048x = 219,596 × 219,596
  4. Step 4: Simplify right side
    103,048x = 48,222,403,216
  5. Step 5: Solve for x
    x = 48,222,403,216/103,048
  6. Step 6: Final answer
    x = 467,960.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.