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Finding the Third Proportional to 96,436 and 207,670

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Solution

The third proportional to 96,436 and 207,670 is: 447,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,436 : 207,670 = 207,670 : x
  2. Step 2: Convert to fraction form
    96,436/207,670 = 207,670/x
  3. Step 3: Cross multiply
    96,436x = 207,670 × 207,670
  4. Step 4: Simplify right side
    96,436x = 43,126,828,900
  5. Step 5: Solve for x
    x = 43,126,828,900/96,436
  6. Step 6: Final answer
    x = 447,206.74

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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.