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Finding the Third Proportional to 95,346 and 188,298

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Solution

The third proportional to 95,346 and 188,298 is: 371,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,346 : 188,298 = 188,298 : x
  2. Step 2: Convert to fraction form
    95,346/188,298 = 188,298/x
  3. Step 3: Cross multiply
    95,346x = 188,298 × 188,298
  4. Step 4: Simplify right side
    95,346x = 35,456,136,804
  5. Step 5: Solve for x
    x = 35,456,136,804/95,346
  6. Step 6: Final answer
    x = 371,868.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.