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Finding the Third Proportional to 89,956 and 197,408

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Solution

The third proportional to 89,956 and 197,408 is: 433,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,956 : 197,408 = 197,408 : x
  2. Step 2: Convert to fraction form
    89,956/197,408 = 197,408/x
  3. Step 3: Cross multiply
    89,956x = 197,408 × 197,408
  4. Step 4: Simplify right side
    89,956x = 38,969,918,464
  5. Step 5: Solve for x
    x = 38,969,918,464/89,956
  6. Step 6: Final answer
    x = 433,210.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.