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Finding the Third Proportional to 98,642 and 214,042

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Solution

The third proportional to 98,642 and 214,042 is: 464,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642 : 214,042 = 214,042 : x
  2. Step 2: Convert to fraction form
    98,642/214,042 = 214,042/x
  3. Step 3: Cross multiply
    98,642x = 214,042 × 214,042
  4. Step 4: Simplify right side
    98,642x = 45,813,977,764
  5. Step 5: Solve for x
    x = 45,813,977,764/98,642
  6. Step 6: Final answer
    x = 464,446.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.