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Finding the Third Proportional to 86,805 and 190,230

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Solution

The third proportional to 86,805 and 190,230 is: 416,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,805 : 190,230 = 190,230 : x
  2. Step 2: Convert to fraction form
    86,805/190,230 = 190,230/x
  3. Step 3: Cross multiply
    86,805x = 190,230 × 190,230
  4. Step 4: Simplify right side
    86,805x = 36,187,452,900
  5. Step 5: Solve for x
    x = 36,187,452,900/86,805
  6. Step 6: Final answer
    x = 416,882.13

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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.