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Finding the Third Proportional to 189,912.94 and 415,116.56

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Solution

The third proportional to 189,912.94 and 415,116.56 is: 907,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,912.94 : 415,116.56 = 415,116.56 : x
  2. Step 2: Convert to fraction form
    189,912.94/415,116.56 = 415,116.56/x
  3. Step 3: Cross multiply
    189,912.94x = 415,116.56 × 415,116.56
  4. Step 4: Simplify right side
    189,912.94x = 172,321,760,461.82
  5. Step 5: Solve for x
    x = 172,321,760,461.82/189,912.94
  6. Step 6: Final answer
    x = 907,372.41

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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.