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Finding the Third Proportional to 196,896.94 and 420,783.75

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Solution

The third proportional to 196,896.94 and 420,783.75 is: 899,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,896.94 : 420,783.75 = 420,783.75 : x
  2. Step 2: Convert to fraction form
    196,896.94/420,783.75 = 420,783.75/x
  3. Step 3: Cross multiply
    196,896.94x = 420,783.75 × 420,783.75
  4. Step 4: Simplify right side
    196,896.94x = 177,058,964,264.06
  5. Step 5: Solve for x
    x = 177,058,964,264.06/196,896.94
  6. Step 6: Final answer
    x = 899,246.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.