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Finding the Third Proportional to 96,606 and 207,496.13

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Solution

The third proportional to 96,606 and 207,496.13 is: 445,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,606 : 207,496.13 = 207,496.13 : x
  2. Step 2: Convert to fraction form
    96,606/207,496.13 = 207,496.13/x
  3. Step 3: Cross multiply
    96,606x = 207,496.13 × 207,496.13
  4. Step 4: Simplify right side
    96,606x = 43,054,641,890.02
  5. Step 5: Solve for x
    x = 43,054,641,890.02/96,606
  6. Step 6: Final answer
    x = 445,672.55

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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.