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Finding the Third Proportional to 104,442 and 214,414.50

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Solution

The third proportional to 104,442 and 214,414.50 is: 440,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,442 : 214,414.50 = 214,414.50 : x
  2. Step 2: Convert to fraction form
    104,442/214,414.50 = 214,414.50/x
  3. Step 3: Cross multiply
    104,442x = 214,414.50 × 214,414.50
  4. Step 4: Simplify right side
    104,442x = 45,973,577,810.25
  5. Step 5: Solve for x
    x = 45,973,577,810.25/104,442
  6. Step 6: Final answer
    x = 440,182.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.