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Finding the Third Proportional to 43,048 and 91,228

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Solution

The third proportional to 43,048 and 91,228 is: 193,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,048 : 91,228 = 91,228 : x
  2. Step 2: Convert to fraction form
    43,048/91,228 = 91,228/x
  3. Step 3: Cross multiply
    43,048x = 91,228 × 91,228
  4. Step 4: Simplify right side
    43,048x = 8,322,547,984
  5. Step 5: Solve for x
    x = 8,322,547,984/43,048
  6. Step 6: Final answer
    x = 193,331.82

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.