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Finding the Third Proportional to 196,895.63 and 420,780.75

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Solution

The third proportional to 196,895.63 and 420,780.75 is: 899,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,895.63 : 420,780.75 = 420,780.75 : x
  2. Step 2: Convert to fraction form
    196,895.63/420,780.75 = 420,780.75/x
  3. Step 3: Cross multiply
    196,895.63x = 420,780.75 × 420,780.75
  4. Step 4: Simplify right side
    196,895.63x = 177,056,439,570.56
  5. Step 5: Solve for x
    x = 177,056,439,570.56/196,895.63
  6. Step 6: Final answer
    x = 899,240.09

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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.