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Finding the Third Proportional to 48,880 and 98,518

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Solution

The third proportional to 48,880 and 98,518 is: 198,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,880 : 98,518 = 98,518 : x
  2. Step 2: Convert to fraction form
    48,880/98,518 = 98,518/x
  3. Step 3: Cross multiply
    48,880x = 98,518 × 98,518
  4. Step 4: Simplify right side
    48,880x = 9,705,796,324
  5. Step 5: Solve for x
    x = 9,705,796,324/48,880
  6. Step 6: Final answer
    x = 198,563.75

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.