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Finding the Third Proportional to 83,037.66 and 193,959.56

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Solution

The third proportional to 83,037.66 and 193,959.56 is: 453,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,037.66 : 193,959.56 = 193,959.56 : x
  2. Step 2: Convert to fraction form
    83,037.66/193,959.56 = 193,959.56/x
  3. Step 3: Cross multiply
    83,037.66x = 193,959.56 × 193,959.56
  4. Step 4: Simplify right side
    83,037.66x = 37,620,311,885.19
  5. Step 5: Solve for x
    x = 37,620,311,885.19/83,037.66
  6. Step 6: Final answer
    x = 453,051.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.