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Finding the Third Proportional to 86,263 and 188,519

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Solution

The third proportional to 86,263 and 188,519 is: 411,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,263 : 188,519 = 188,519 : x
  2. Step 2: Convert to fraction form
    86,263/188,519 = 188,519/x
  3. Step 3: Cross multiply
    86,263x = 188,519 × 188,519
  4. Step 4: Simplify right side
    86,263x = 35,539,413,361
  5. Step 5: Solve for x
    x = 35,539,413,361/86,263
  6. Step 6: Final answer
    x = 411,989.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.