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Finding the Third Proportional to 86,179 and 188,395

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Solution

The third proportional to 86,179 and 188,395 is: 411,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,179 : 188,395 = 188,395 : x
  2. Step 2: Convert to fraction form
    86,179/188,395 = 188,395/x
  3. Step 3: Cross multiply
    86,179x = 188,395 × 188,395
  4. Step 4: Simplify right side
    86,179x = 35,492,676,025
  5. Step 5: Solve for x
    x = 35,492,676,025/86,179
  6. Step 6: Final answer
    x = 411,848.32

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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.