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Finding the Third Proportional to 66,367.69 and 143,300.81

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Solution

The third proportional to 66,367.69 and 143,300.81 is: 309,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,367.69 : 143,300.81 = 143,300.81 : x
  2. Step 2: Convert to fraction form
    66,367.69/143,300.81 = 143,300.81/x
  3. Step 3: Cross multiply
    66,367.69x = 143,300.81 × 143,300.81
  4. Step 4: Simplify right side
    66,367.69x = 20,535,122,863.16
  5. Step 5: Solve for x
    x = 20,535,122,863.16/66,367.69
  6. Step 6: Final answer
    x = 309,414.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.