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Finding the Third Proportional to 48,986 and 100,046

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Solution

The third proportional to 48,986 and 100,046 is: 204,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,986 : 100,046 = 100,046 : x
  2. Step 2: Convert to fraction form
    48,986/100,046 = 100,046/x
  3. Step 3: Cross multiply
    48,986x = 100,046 × 100,046
  4. Step 4: Simplify right side
    48,986x = 10,009,202,116
  5. Step 5: Solve for x
    x = 10,009,202,116/48,986
  6. Step 6: Final answer
    x = 204,327.81

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.