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Finding the Third Proportional to 143,909.16 and 215,880.82

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Solution

The third proportional to 143,909.16 and 215,880.82 is: 323,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,909.16 : 215,880.82 = 215,880.82 : x
  2. Step 2: Convert to fraction form
    143,909.16/215,880.82 = 215,880.82/x
  3. Step 3: Cross multiply
    143,909.16x = 215,880.82 × 215,880.82
  4. Step 4: Simplify right side
    143,909.16x = 46,604,528,578.80
  5. Step 5: Solve for x
    x = 46,604,528,578.80/143,909.16
  6. Step 6: Final answer
    x = 323,846.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.