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Finding the Third Proportional to 96,486 and 207,738

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Solution

The third proportional to 96,486 and 207,738 is: 447,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,486 : 207,738 = 207,738 : x
  2. Step 2: Convert to fraction form
    96,486/207,738 = 207,738/x
  3. Step 3: Cross multiply
    96,486x = 207,738 × 207,738
  4. Step 4: Simplify right side
    96,486x = 43,155,076,644
  5. Step 5: Solve for x
    x = 43,155,076,644/96,486
  6. Step 6: Final answer
    x = 447,267.76

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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.