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Finding the Third Proportional to 98,212 and 210,956

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Solution

The third proportional to 98,212 and 210,956 is: 453,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212 : 210,956 = 210,956 : x
  2. Step 2: Convert to fraction form
    98,212/210,956 = 210,956/x
  3. Step 3: Cross multiply
    98,212x = 210,956 × 210,956
  4. Step 4: Simplify right side
    98,212x = 44,502,433,936
  5. Step 5: Solve for x
    x = 44,502,433,936/98,212
  6. Step 6: Final answer
    x = 453,126.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.