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Finding the Third Proportional to 46,455.75 and 101,443.78

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Solution

The third proportional to 46,455.75 and 101,443.78 is: 221,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,455.75 : 101,443.78 = 101,443.78 : x
  2. Step 2: Convert to fraction form
    46,455.75/101,443.78 = 101,443.78/x
  3. Step 3: Cross multiply
    46,455.75x = 101,443.78 × 101,443.78
  4. Step 4: Simplify right side
    46,455.75x = 10,290,840,754.30
  5. Step 5: Solve for x
    x = 10,290,840,754.30/46,455.75
  6. Step 6: Final answer
    x = 221,519.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.