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Finding the Third Proportional to 96,743.11 and 206,728.45

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Solution

The third proportional to 96,743.11 and 206,728.45 is: 441,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,743.11 : 206,728.45 = 206,728.45 : x
  2. Step 2: Convert to fraction form
    96,743.11/206,728.45 = 206,728.45/x
  3. Step 3: Cross multiply
    96,743.11x = 206,728.45 × 206,728.45
  4. Step 4: Simplify right side
    96,743.11x = 42,736,653,331.46
  5. Step 5: Solve for x
    x = 42,736,653,331.46/96,743.11
  6. Step 6: Final answer
    x = 441,753.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.