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Finding the Third Proportional to 136,069.45 and 214,539.96

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Solution

The third proportional to 136,069.45 and 214,539.96 is: 338,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,069.45 : 214,539.96 = 214,539.96 : x
  2. Step 2: Convert to fraction form
    136,069.45/214,539.96 = 214,539.96/x
  3. Step 3: Cross multiply
    136,069.45x = 214,539.96 × 214,539.96
  4. Step 4: Simplify right side
    136,069.45x = 46,027,394,839.06
  5. Step 5: Solve for x
    x = 46,027,394,839.06/136,069.45
  6. Step 6: Final answer
    x = 338,263.98

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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.