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Finding the Third Proportional to 46,819.69 and 102,383.44

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Solution

The third proportional to 46,819.69 and 102,383.44 is: 223,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,819.69 : 102,383.44 = 102,383.44 : x
  2. Step 2: Convert to fraction form
    46,819.69/102,383.44 = 102,383.44/x
  3. Step 3: Cross multiply
    46,819.69x = 102,383.44 × 102,383.44
  4. Step 4: Simplify right side
    46,819.69x = 10,482,368,274.32
  5. Step 5: Solve for x
    x = 10,482,368,274.32/46,819.69
  6. Step 6: Final answer
    x = 223,888.04

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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.