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Finding the Third Proportional to 194,097.94 and 422,366.06

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Solution

The third proportional to 194,097.94 and 422,366.06 is: 919,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,097.94 : 422,366.06 = 422,366.06 : x
  2. Step 2: Convert to fraction form
    194,097.94/422,366.06 = 422,366.06/x
  3. Step 3: Cross multiply
    194,097.94x = 422,366.06 × 422,366.06
  4. Step 4: Simplify right side
    194,097.94x = 178,393,090,751.75
  5. Step 5: Solve for x
    x = 178,393,090,751.75/194,097.94
  6. Step 6: Final answer
    x = 919,088.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.