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Finding the Third Proportional to 96,182.44 and 207,127.13

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Solution

The third proportional to 96,182.44 and 207,127.13 is: 446,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,182.44 : 207,127.13 = 207,127.13 : x
  2. Step 2: Convert to fraction form
    96,182.44/207,127.13 = 207,127.13/x
  3. Step 3: Cross multiply
    96,182.44x = 207,127.13 × 207,127.13
  4. Step 4: Simplify right side
    96,182.44x = 42,901,645,910.77
  5. Step 5: Solve for x
    x = 42,901,645,910.77/96,182.44
  6. Step 6: Final answer
    x = 446,044.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.