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Finding the Third Proportional to 98,443 and 210,889

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Solution

The third proportional to 98,443 and 210,889 is: 451,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,443 : 210,889 = 210,889 : x
  2. Step 2: Convert to fraction form
    98,443/210,889 = 210,889/x
  3. Step 3: Cross multiply
    98,443x = 210,889 × 210,889
  4. Step 4: Simplify right side
    98,443x = 44,474,170,321
  5. Step 5: Solve for x
    x = 44,474,170,321/98,443
  6. Step 6: Final answer
    x = 451,775.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.