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Finding the Third Proportional to 103,504 and 219,536

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Solution

The third proportional to 103,504 and 219,536 is: 465,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,504 : 219,536 = 219,536 : x
  2. Step 2: Convert to fraction form
    103,504/219,536 = 219,536/x
  3. Step 3: Cross multiply
    103,504x = 219,536 × 219,536
  4. Step 4: Simplify right side
    103,504x = 48,196,055,296
  5. Step 5: Solve for x
    x = 48,196,055,296/103,504
  6. Step 6: Final answer
    x = 465,644.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.