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Finding the Third Proportional to 49,424 and 105,998.88

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Solution

The third proportional to 49,424 and 105,998.88 is: 227,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,424 : 105,998.88 = 105,998.88 : x
  2. Step 2: Convert to fraction form
    49,424/105,998.88 = 105,998.88/x
  3. Step 3: Cross multiply
    49,424x = 105,998.88 × 105,998.88
  4. Step 4: Simplify right side
    49,424x = 11,235,761,501.27
  5. Step 5: Solve for x
    x = 11,235,761,501.27/49,424
  6. Step 6: Final answer
    x = 227,334.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.