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Finding the Third Proportional to 46,621.69 and 101,782.69

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Solution

The third proportional to 46,621.69 and 101,782.69 is: 222,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,621.69 : 101,782.69 = 101,782.69 : x
  2. Step 2: Convert to fraction form
    46,621.69/101,782.69 = 101,782.69/x
  3. Step 3: Cross multiply
    46,621.69x = 101,782.69 × 101,782.69
  4. Step 4: Simplify right side
    46,621.69x = 10,359,715,474.72
  5. Step 5: Solve for x
    x = 10,359,715,474.72/46,621.69
  6. Step 6: Final answer
    x = 222,208.08

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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.