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Finding the Third Proportional to 137,406.38 and 218,100.09

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Solution

The third proportional to 137,406.38 and 218,100.09 is: 346,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,406.38 : 218,100.09 = 218,100.09 : x
  2. Step 2: Convert to fraction form
    137,406.38/218,100.09 = 218,100.09/x
  3. Step 3: Cross multiply
    137,406.38x = 218,100.09 × 218,100.09
  4. Step 4: Simplify right side
    137,406.38x = 47,567,650,893.76
  5. Step 5: Solve for x
    x = 47,567,650,893.76/137,406.38
  6. Step 6: Final answer
    x = 346,182.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.