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Finding the Third Proportional to 196,571.81 and 418,901.63

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Solution

The third proportional to 196,571.81 and 418,901.63 is: 892,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,571.81 : 418,901.63 = 418,901.63 : x
  2. Step 2: Convert to fraction form
    196,571.81/418,901.63 = 418,901.63/x
  3. Step 3: Cross multiply
    196,571.81x = 418,901.63 × 418,901.63
  4. Step 4: Simplify right side
    196,571.81x = 175,478,571,427.64
  5. Step 5: Solve for x
    x = 175,478,571,427.64/196,571.81
  6. Step 6: Final answer
    x = 892,694.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.