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Finding the Third Proportional to 96,739.31 and 200,310.47

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Solution

The third proportional to 96,739.31 and 200,310.47 is: 414,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,739.31 : 200,310.47 = 200,310.47 : x
  2. Step 2: Convert to fraction form
    96,739.31/200,310.47 = 200,310.47/x
  3. Step 3: Cross multiply
    96,739.31x = 200,310.47 × 200,310.47
  4. Step 4: Simplify right side
    96,739.31x = 40,124,283,890.84
  5. Step 5: Solve for x
    x = 40,124,283,890.84/96,739.31
  6. Step 6: Final answer
    x = 414,767.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.