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Finding the Third Proportional to 216,941.63 and 471,198.94

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Solution

The third proportional to 216,941.63 and 471,198.94 is: 1,023,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,941.63 : 471,198.94 = 471,198.94 : x
  2. Step 2: Convert to fraction form
    216,941.63/471,198.94 = 471,198.94/x
  3. Step 3: Cross multiply
    216,941.63x = 471,198.94 × 471,198.94
  4. Step 4: Simplify right side
    216,941.63x = 222,028,438,701.13
  5. Step 5: Solve for x
    x = 222,028,438,701.13/216,941.63
  6. Step 6: Final answer
    x = 1,023,447.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.