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Finding the Third Proportional to 86,603 and 190,217

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Solution

The third proportional to 86,603 and 190,217 is: 417,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,603 : 190,217 = 190,217 : x
  2. Step 2: Convert to fraction form
    86,603/190,217 = 190,217/x
  3. Step 3: Cross multiply
    86,603x = 190,217 × 190,217
  4. Step 4: Simplify right side
    86,603x = 36,182,507,089
  5. Step 5: Solve for x
    x = 36,182,507,089/86,603
  6. Step 6: Final answer
    x = 417,797.39

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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.