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Finding the Third Proportional to 97,269 and 211,581

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Solution

The third proportional to 97,269 and 211,581 is: 460,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,269 : 211,581 = 211,581 : x
  2. Step 2: Convert to fraction form
    97,269/211,581 = 211,581/x
  3. Step 3: Cross multiply
    97,269x = 211,581 × 211,581
  4. Step 4: Simplify right side
    97,269x = 44,766,519,561
  5. Step 5: Solve for x
    x = 44,766,519,561/97,269
  6. Step 6: Final answer
    x = 460,234.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.