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Finding the Third Proportional to 86,232 and 188,508

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Solution

The third proportional to 86,232 and 188,508 is: 412,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,232 : 188,508 = 188,508 : x
  2. Step 2: Convert to fraction form
    86,232/188,508 = 188,508/x
  3. Step 3: Cross multiply
    86,232x = 188,508 × 188,508
  4. Step 4: Simplify right side
    86,232x = 35,535,266,064
  5. Step 5: Solve for x
    x = 35,535,266,064/86,232
  6. Step 6: Final answer
    x = 412,089.09

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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.