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Finding the Third Proportional to 95,810 and 208,792

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Solution

The third proportional to 95,810 and 208,792 is: 455,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,810 : 208,792 = 208,792 : x
  2. Step 2: Convert to fraction form
    95,810/208,792 = 208,792/x
  3. Step 3: Cross multiply
    95,810x = 208,792 × 208,792
  4. Step 4: Simplify right side
    95,810x = 43,594,099,264
  5. Step 5: Solve for x
    x = 43,594,099,264/95,810
  6. Step 6: Final answer
    x = 455,005.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.