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Finding the Third Proportional to 95,383 and 207,351

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Solution

The third proportional to 95,383 and 207,351 is: 450,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,383 : 207,351 = 207,351 : x
  2. Step 2: Convert to fraction form
    95,383/207,351 = 207,351/x
  3. Step 3: Cross multiply
    95,383x = 207,351 × 207,351
  4. Step 4: Simplify right side
    95,383x = 42,994,437,201
  5. Step 5: Solve for x
    x = 42,994,437,201/95,383
  6. Step 6: Final answer
    x = 450,755.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.