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Finding the Third Proportional to 103,043.25 and 224,231.63

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Solution

The third proportional to 103,043.25 and 224,231.63 is: 487,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,043.25 : 224,231.63 = 224,231.63 : x
  2. Step 2: Convert to fraction form
    103,043.25/224,231.63 = 224,231.63/x
  3. Step 3: Cross multiply
    103,043.25x = 224,231.63 × 224,231.63
  4. Step 4: Simplify right side
    103,043.25x = 50,279,821,650.14
  5. Step 5: Solve for x
    x = 50,279,821,650.14/103,043.25
  6. Step 6: Final answer
    x = 487,948.72

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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.