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Finding the Third Proportional to 48,319.03 and 97,997.34

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Solution

The third proportional to 48,319.03 and 97,997.34 is: 198,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,319.03 : 97,997.34 = 97,997.34 : x
  2. Step 2: Convert to fraction form
    48,319.03/97,997.34 = 97,997.34/x
  3. Step 3: Cross multiply
    48,319.03x = 97,997.34 × 97,997.34
  4. Step 4: Simplify right side
    48,319.03x = 9,603,479,382.06
  5. Step 5: Solve for x
    x = 9,603,479,382.06/48,319.03
  6. Step 6: Final answer
    x = 198,751.49

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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.