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Finding the Third Proportional to 49,470 and 109,998

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Solution

The third proportional to 49,470 and 109,998 is: 244,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,470 : 109,998 = 109,998 : x
  2. Step 2: Convert to fraction form
    49,470/109,998 = 109,998/x
  3. Step 3: Cross multiply
    49,470x = 109,998 × 109,998
  4. Step 4: Simplify right side
    49,470x = 12,099,560,004
  5. Step 5: Solve for x
    x = 12,099,560,004/49,470
  6. Step 6: Final answer
    x = 244,583.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.