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Finding the Third Proportional to 48,384 and 103,329

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Solution

The third proportional to 48,384 and 103,329 is: 220,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384 : 103,329 = 103,329 : x
  2. Step 2: Convert to fraction form
    48,384/103,329 = 103,329/x
  3. Step 3: Cross multiply
    48,384x = 103,329 × 103,329
  4. Step 4: Simplify right side
    48,384x = 10,676,882,241
  5. Step 5: Solve for x
    x = 10,676,882,241/48,384
  6. Step 6: Final answer
    x = 220,669.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.