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Finding the Third Proportional to 141,744.94 and 219,315.09

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Solution

The third proportional to 141,744.94 and 219,315.09 is: 339,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,744.94 : 219,315.09 = 219,315.09 : x
  2. Step 2: Convert to fraction form
    141,744.94/219,315.09 = 219,315.09/x
  3. Step 3: Cross multiply
    141,744.94x = 219,315.09 × 219,315.09
  4. Step 4: Simplify right side
    141,744.94x = 48,099,110,346.57
  5. Step 5: Solve for x
    x = 48,099,110,346.57/141,744.94
  6. Step 6: Final answer
    x = 339,335.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.