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Finding the Third Proportional to 48,215 and 103,829

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Solution

The third proportional to 48,215 and 103,829 is: 223,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,215 : 103,829 = 103,829 : x
  2. Step 2: Convert to fraction form
    48,215/103,829 = 103,829/x
  3. Step 3: Cross multiply
    48,215x = 103,829 × 103,829
  4. Step 4: Simplify right side
    48,215x = 10,780,461,241
  5. Step 5: Solve for x
    x = 10,780,461,241/48,215
  6. Step 6: Final answer
    x = 223,591.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.