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Finding the Third Proportional to 106,770.38 and 216,608.63

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Solution

The third proportional to 106,770.38 and 216,608.63 is: 439,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,770.38 : 216,608.63 = 216,608.63 : x
  2. Step 2: Convert to fraction form
    106,770.38/216,608.63 = 216,608.63/x
  3. Step 3: Cross multiply
    106,770.38x = 216,608.63 × 216,608.63
  4. Step 4: Simplify right side
    106,770.38x = 46,919,296,424.39
  5. Step 5: Solve for x
    x = 46,919,296,424.39/106,770.38
  6. Step 6: Final answer
    x = 439,441.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.