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Finding the Third Proportional to 46,443.38 and 101,786.63

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Solution

The third proportional to 46,443.38 and 101,786.63 is: 223,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,443.38 : 101,786.63 = 101,786.63 : x
  2. Step 2: Convert to fraction form
    46,443.38/101,786.63 = 101,786.63/x
  3. Step 3: Cross multiply
    46,443.38x = 101,786.63 × 101,786.63
  4. Step 4: Simplify right side
    46,443.38x = 10,360,517,028.89
  5. Step 5: Solve for x
    x = 10,360,517,028.89/46,443.38
  6. Step 6: Final answer
    x = 223,078.47

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