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Finding the Third Proportional to 46,819.25 and 103,182

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Solution

The third proportional to 46,819.25 and 103,182 is: 227,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,819.25 : 103,182 = 103,182 : x
  2. Step 2: Convert to fraction form
    46,819.25/103,182 = 103,182/x
  3. Step 3: Cross multiply
    46,819.25x = 103,182 × 103,182
  4. Step 4: Simplify right side
    46,819.25x = 10,646,525,124
  5. Step 5: Solve for x
    x = 10,646,525,124/46,819.25
  6. Step 6: Final answer
    x = 227,396.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.