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Finding the Third Proportional to 90,284.63 and 194,855.63

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Solution

The third proportional to 90,284.63 and 194,855.63 is: 420,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,284.63 : 194,855.63 = 194,855.63 : x
  2. Step 2: Convert to fraction form
    90,284.63/194,855.63 = 194,855.63/x
  3. Step 3: Cross multiply
    90,284.63x = 194,855.63 × 194,855.63
  4. Step 4: Simplify right side
    90,284.63x = 37,968,714,594.14
  5. Step 5: Solve for x
    x = 37,968,714,594.14/90,284.63
  6. Step 6: Final answer
    x = 420,544.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.