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Finding the Third Proportional to 48,326 and 98,011

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Solution

The third proportional to 48,326 and 98,011 is: 198,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,326 : 98,011 = 98,011 : x
  2. Step 2: Convert to fraction form
    48,326/98,011 = 98,011/x
  3. Step 3: Cross multiply
    48,326x = 98,011 × 98,011
  4. Step 4: Simplify right side
    48,326x = 9,606,156,121
  5. Step 5: Solve for x
    x = 9,606,156,121/48,326
  6. Step 6: Final answer
    x = 198,778.22

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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.