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Finding the Third Proportional to 101,958.19 and 218,683.69

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Solution

The third proportional to 101,958.19 and 218,683.69 is: 469,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958.19 : 218,683.69 = 218,683.69 : x
  2. Step 2: Convert to fraction form
    101,958.19/218,683.69 = 218,683.69/x
  3. Step 3: Cross multiply
    101,958.19x = 218,683.69 × 218,683.69
  4. Step 4: Simplify right side
    101,958.19x = 47,822,555,178.60
  5. Step 5: Solve for x
    x = 47,822,555,178.60/101,958.19
  6. Step 6: Final answer
    x = 469,040.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.