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Finding the Third Proportional to 49,455.56 and 108,995.63

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Solution

The third proportional to 49,455.56 and 108,995.63 is: 240,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,455.56 : 108,995.63 = 108,995.63 : x
  2. Step 2: Convert to fraction form
    49,455.56/108,995.63 = 108,995.63/x
  3. Step 3: Cross multiply
    49,455.56x = 108,995.63 × 108,995.63
  4. Step 4: Simplify right side
    49,455.56x = 11,880,046,269.14
  5. Step 5: Solve for x
    x = 11,880,046,269.14/49,455.56
  6. Step 6: Final answer
    x = 240,216.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.