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Finding the Third Proportional to 97,504 and 211,536

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Solution

The third proportional to 97,504 and 211,536 is: 458,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,504 : 211,536 = 211,536 : x
  2. Step 2: Convert to fraction form
    97,504/211,536 = 211,536/x
  3. Step 3: Cross multiply
    97,504x = 211,536 × 211,536
  4. Step 4: Simplify right side
    97,504x = 44,747,479,296
  5. Step 5: Solve for x
    x = 44,747,479,296/97,504
  6. Step 6: Final answer
    x = 458,929.68

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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.