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Finding the Third Proportional to 105,483.94 and 214,884.56

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Solution

The third proportional to 105,483.94 and 214,884.56 is: 437,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,483.94 : 214,884.56 = 214,884.56 : x
  2. Step 2: Convert to fraction form
    105,483.94/214,884.56 = 214,884.56/x
  3. Step 3: Cross multiply
    105,483.94x = 214,884.56 × 214,884.56
  4. Step 4: Simplify right side
    105,483.94x = 46,175,375,200.82
  5. Step 5: Solve for x
    x = 46,175,375,200.82/105,483.94
  6. Step 6: Final answer
    x = 437,747.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.