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Finding the Third Proportional to 54,836.44 and 117,833.63

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Solution

The third proportional to 54,836.44 and 117,833.63 is: 253,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,836.44 : 117,833.63 = 117,833.63 : x
  2. Step 2: Convert to fraction form
    54,836.44/117,833.63 = 117,833.63/x
  3. Step 3: Cross multiply
    54,836.44x = 117,833.63 × 117,833.63
  4. Step 4: Simplify right side
    54,836.44x = 13,884,763,180.64
  5. Step 5: Solve for x
    x = 13,884,763,180.64/54,836.44
  6. Step 6: Final answer
    x = 253,203.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.