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Finding the Third Proportional to 144,182.53 and 216,202.92

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Solution

The third proportional to 144,182.53 and 216,202.92 is: 324,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,182.53 : 216,202.92 = 216,202.92 : x
  2. Step 2: Convert to fraction form
    144,182.53/216,202.92 = 216,202.92/x
  3. Step 3: Cross multiply
    144,182.53x = 216,202.92 × 216,202.92
  4. Step 4: Simplify right side
    144,182.53x = 46,743,703,427.29
  5. Step 5: Solve for x
    x = 46,743,703,427.29/144,182.53
  6. Step 6: Final answer
    x = 324,198.11

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Why These Related Problems?

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