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Finding the Third Proportional to 97,287 and 211,611

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Solution

The third proportional to 97,287 and 211,611 is: 460,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,287 : 211,611 = 211,611 : x
  2. Step 2: Convert to fraction form
    97,287/211,611 = 211,611/x
  3. Step 3: Cross multiply
    97,287x = 211,611 × 211,611
  4. Step 4: Simplify right side
    97,287x = 44,779,215,321
  5. Step 5: Solve for x
    x = 44,779,215,321/97,287
  6. Step 6: Final answer
    x = 460,279.54

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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.