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Finding the Third Proportional to 194,416.69 and 422,913.75

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Solution

The third proportional to 194,416.69 and 422,913.75 is: 919,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,416.69 : 422,913.75 = 422,913.75 : x
  2. Step 2: Convert to fraction form
    194,416.69/422,913.75 = 422,913.75/x
  3. Step 3: Cross multiply
    194,416.69x = 422,913.75 × 422,913.75
  4. Step 4: Simplify right side
    194,416.69x = 178,856,039,939.06
  5. Step 5: Solve for x
    x = 178,856,039,939.06/194,416.69
  6. Step 6: Final answer
    x = 919,962.39

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