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Finding the Third Proportional to 97,431 and 208,956

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Solution

The third proportional to 97,431 and 208,956 is: 448,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,431 : 208,956 = 208,956 : x
  2. Step 2: Convert to fraction form
    97,431/208,956 = 208,956/x
  3. Step 3: Cross multiply
    97,431x = 208,956 × 208,956
  4. Step 4: Simplify right side
    97,431x = 43,662,609,936
  5. Step 5: Solve for x
    x = 43,662,609,936/97,431
  6. Step 6: Final answer
    x = 448,138.78

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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.