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Finding the Third Proportional to 48,314 and 97,993

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Solution

The third proportional to 48,314 and 97,993 is: 198,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,314 : 97,993 = 97,993 : x
  2. Step 2: Convert to fraction form
    48,314/97,993 = 97,993/x
  3. Step 3: Cross multiply
    48,314x = 97,993 × 97,993
  4. Step 4: Simplify right side
    48,314x = 9,602,628,049
  5. Step 5: Solve for x
    x = 9,602,628,049/48,314
  6. Step 6: Final answer
    x = 198,754.56

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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.