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Finding the Third Proportional to 132,947.58 and 199,514.39

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Solution

The third proportional to 132,947.58 and 199,514.39 is: 299,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,947.58 : 199,514.39 = 199,514.39 : x
  2. Step 2: Convert to fraction form
    132,947.58/199,514.39 = 199,514.39/x
  3. Step 3: Cross multiply
    132,947.58x = 199,514.39 × 199,514.39
  4. Step 4: Simplify right side
    132,947.58x = 39,805,992,066.47
  5. Step 5: Solve for x
    x = 39,805,992,066.47/132,947.58
  6. Step 6: Final answer
    x = 299,411.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.