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Finding the Third Proportional to 97,266 and 211,137

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Solution

The third proportional to 97,266 and 211,137 is: 458,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,266 : 211,137 = 211,137 : x
  2. Step 2: Convert to fraction form
    97,266/211,137 = 211,137/x
  3. Step 3: Cross multiply
    97,266x = 211,137 × 211,137
  4. Step 4: Simplify right side
    97,266x = 44,578,832,769
  5. Step 5: Solve for x
    x = 44,578,832,769/97,266
  6. Step 6: Final answer
    x = 458,318.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.