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Finding the Third Proportional to 86,882 and 188,710

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Solution

The third proportional to 86,882 and 188,710 is: 409,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,882 : 188,710 = 188,710 : x
  2. Step 2: Convert to fraction form
    86,882/188,710 = 188,710/x
  3. Step 3: Cross multiply
    86,882x = 188,710 × 188,710
  4. Step 4: Simplify right side
    86,882x = 35,611,464,100
  5. Step 5: Solve for x
    x = 35,611,464,100/86,882
  6. Step 6: Final answer
    x = 409,883.11

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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.