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Finding the Third Proportional to 48,214 and 103,830

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Solution

The third proportional to 48,214 and 103,830 is: 223,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,214 : 103,830 = 103,830 : x
  2. Step 2: Convert to fraction form
    48,214/103,830 = 103,830/x
  3. Step 3: Cross multiply
    48,214x = 103,830 × 103,830
  4. Step 4: Simplify right side
    48,214x = 10,780,668,900
  5. Step 5: Solve for x
    x = 10,780,668,900/48,214
  6. Step 6: Final answer
    x = 223,600.38

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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.