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Finding the Third Proportional to 101,305.69 and 216,933.19

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Solution

The third proportional to 101,305.69 and 216,933.19 is: 464,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,305.69 : 216,933.19 = 216,933.19 : x
  2. Step 2: Convert to fraction form
    101,305.69/216,933.19 = 216,933.19/x
  3. Step 3: Cross multiply
    101,305.69x = 216,933.19 × 216,933.19
  4. Step 4: Simplify right side
    101,305.69x = 47,060,007,838.91
  5. Step 5: Solve for x
    x = 47,060,007,838.91/101,305.69
  6. Step 6: Final answer
    x = 464,534.71

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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.