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Finding the Third Proportional to 96,792 and 208,416

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Solution

The third proportional to 96,792 and 208,416 is: 448,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,792 : 208,416 = 208,416 : x
  2. Step 2: Convert to fraction form
    96,792/208,416 = 208,416/x
  3. Step 3: Cross multiply
    96,792x = 208,416 × 208,416
  4. Step 4: Simplify right side
    96,792x = 43,437,229,056
  5. Step 5: Solve for x
    x = 43,437,229,056/96,792
  6. Step 6: Final answer
    x = 448,768.79

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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.