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Finding the Third Proportional to 49,415.63 and 108,671.63

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Solution

The third proportional to 49,415.63 and 108,671.63 is: 238,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,415.63 : 108,671.63 = 108,671.63 : x
  2. Step 2: Convert to fraction form
    49,415.63/108,671.63 = 108,671.63/x
  3. Step 3: Cross multiply
    49,415.63x = 108,671.63 × 108,671.63
  4. Step 4: Simplify right side
    49,415.63x = 11,809,522,080.14
  5. Step 5: Solve for x
    x = 11,809,522,080.14/49,415.63
  6. Step 6: Final answer
    x = 238,983.56

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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.