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Finding the Third Proportional to 48,820 and 98,996

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Solution

The third proportional to 48,820 and 98,996 is: 200,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820 : 98,996 = 98,996 : x
  2. Step 2: Convert to fraction form
    48,820/98,996 = 98,996/x
  3. Step 3: Cross multiply
    48,820x = 98,996 × 98,996
  4. Step 4: Simplify right side
    48,820x = 9,800,208,016
  5. Step 5: Solve for x
    x = 9,800,208,016/48,820
  6. Step 6: Final answer
    x = 200,741.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.