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Finding the Third Proportional to 136,069.88 and 214,540.31

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Solution

The third proportional to 136,069.88 and 214,540.31 is: 338,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,069.88 : 214,540.31 = 214,540.31 : x
  2. Step 2: Convert to fraction form
    136,069.88/214,540.31 = 214,540.31/x
  3. Step 3: Cross multiply
    136,069.88x = 214,540.31 × 214,540.31
  4. Step 4: Simplify right side
    136,069.88x = 46,027,545,687.60
  5. Step 5: Solve for x
    x = 46,027,545,687.60/136,069.88
  6. Step 6: Final answer
    x = 338,264.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.