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Finding the Third Proportional to 98,208 and 211,956

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Solution

The third proportional to 98,208 and 211,956 is: 457,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,208 : 211,956 = 211,956 : x
  2. Step 2: Convert to fraction form
    98,208/211,956 = 211,956/x
  3. Step 3: Cross multiply
    98,208x = 211,956 × 211,956
  4. Step 4: Simplify right side
    98,208x = 44,925,345,936
  5. Step 5: Solve for x
    x = 44,925,345,936/98,208
  6. Step 6: Final answer
    x = 457,450.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.