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Finding the Third Proportional to 96,057.14 and 208,725.61

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Solution

The third proportional to 96,057.14 and 208,725.61 is: 453,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,057.14 : 208,725.61 = 208,725.61 : x
  2. Step 2: Convert to fraction form
    96,057.14/208,725.61 = 208,725.61/x
  3. Step 3: Cross multiply
    96,057.14x = 208,725.61 × 208,725.61
  4. Step 4: Simplify right side
    96,057.14x = 43,566,380,008.97
  5. Step 5: Solve for x
    x = 43,566,380,008.97/96,057.14
  6. Step 6: Final answer
    x = 453,546.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.