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Finding the Third Proportional to 48,818 and 106,330

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Solution

The third proportional to 48,818 and 106,330 is: 231,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,818 : 106,330 = 106,330 : x
  2. Step 2: Convert to fraction form
    48,818/106,330 = 106,330/x
  3. Step 3: Cross multiply
    48,818x = 106,330 × 106,330
  4. Step 4: Simplify right side
    48,818x = 11,306,068,900
  5. Step 5: Solve for x
    x = 11,306,068,900/48,818
  6. Step 6: Final answer
    x = 231,596.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.