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Finding the Third Proportional to 86,601 and 190,213

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Solution

The third proportional to 86,601 and 190,213 is: 417,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,601 : 190,213 = 190,213 : x
  2. Step 2: Convert to fraction form
    86,601/190,213 = 190,213/x
  3. Step 3: Cross multiply
    86,601x = 190,213 × 190,213
  4. Step 4: Simplify right side
    86,601x = 36,180,985,369
  5. Step 5: Solve for x
    x = 36,180,985,369/86,601
  6. Step 6: Final answer
    x = 417,789.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.