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Finding the Third Proportional to 100,458.38 and 214,898.44

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Solution

The third proportional to 100,458.38 and 214,898.44 is: 459,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458.38 : 214,898.44 = 214,898.44 : x
  2. Step 2: Convert to fraction form
    100,458.38/214,898.44 = 214,898.44/x
  3. Step 3: Cross multiply
    100,458.38x = 214,898.44 × 214,898.44
  4. Step 4: Simplify right side
    100,458.38x = 46,181,338,439.94
  5. Step 5: Solve for x
    x = 46,181,338,439.94/100,458.38
  6. Step 6: Final answer
    x = 459,706.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.