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Finding the Third Proportional to 95,796 and 208,377

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Solution

The third proportional to 95,796 and 208,377 is: 453,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,796 : 208,377 = 208,377 : x
  2. Step 2: Convert to fraction form
    95,796/208,377 = 208,377/x
  3. Step 3: Cross multiply
    95,796x = 208,377 × 208,377
  4. Step 4: Simplify right side
    95,796x = 43,420,974,129
  5. Step 5: Solve for x
    x = 43,420,974,129/95,796
  6. Step 6: Final answer
    x = 453,265.00

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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.