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Finding the Third Proportional to 89,152.03 and 194,297.06

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Solution

The third proportional to 89,152.03 and 194,297.06 is: 423,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,152.03 : 194,297.06 = 194,297.06 : x
  2. Step 2: Convert to fraction form
    89,152.03/194,297.06 = 194,297.06/x
  3. Step 3: Cross multiply
    89,152.03x = 194,297.06 × 194,297.06
  4. Step 4: Simplify right side
    89,152.03x = 37,751,348,496.13
  5. Step 5: Solve for x
    x = 37,751,348,496.13/89,152.03
  6. Step 6: Final answer
    x = 423,449.11

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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.