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Finding the Third Proportional to 141,650.44 and 311,212.13

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Solution

The third proportional to 141,650.44 and 311,212.13 is: 683,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,650.44 : 311,212.13 = 311,212.13 : x
  2. Step 2: Convert to fraction form
    141,650.44/311,212.13 = 311,212.13/x
  3. Step 3: Cross multiply
    141,650.44x = 311,212.13 × 311,212.13
  4. Step 4: Simplify right side
    141,650.44x = 96,852,986,747.02
  5. Step 5: Solve for x
    x = 96,852,986,747.02/141,650.44
  6. Step 6: Final answer
    x = 683,746.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.