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Finding the Third Proportional to 46,812.94 and 102,382.88

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Solution

The third proportional to 46,812.94 and 102,382.88 is: 223,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812.94 : 102,382.88 = 102,382.88 : x
  2. Step 2: Convert to fraction form
    46,812.94/102,382.88 = 102,382.88/x
  3. Step 3: Cross multiply
    46,812.94x = 102,382.88 × 102,382.88
  4. Step 4: Simplify right side
    46,812.94x = 10,482,253,093.27
  5. Step 5: Solve for x
    x = 10,482,253,093.27/46,812.94
  6. Step 6: Final answer
    x = 223,917.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.