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Finding the Third Proportional to 101,953.69 and 218,674.69

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Solution

The third proportional to 101,953.69 and 218,674.69 is: 469,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,953.69 : 218,674.69 = 218,674.69 : x
  2. Step 2: Convert to fraction form
    101,953.69/218,674.69 = 218,674.69/x
  3. Step 3: Cross multiply
    101,953.69x = 218,674.69 × 218,674.69
  4. Step 4: Simplify right side
    101,953.69x = 47,818,618,953.22
  5. Step 5: Solve for x
    x = 47,818,618,953.22/101,953.69
  6. Step 6: Final answer
    x = 469,022.95

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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.