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Finding the Third Proportional to 190,990.88 and 404,748.38

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Solution

The third proportional to 190,990.88 and 404,748.38 is: 857,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,990.88 : 404,748.38 = 404,748.38 : x
  2. Step 2: Convert to fraction form
    190,990.88/404,748.38 = 404,748.38/x
  3. Step 3: Cross multiply
    190,990.88x = 404,748.38 × 404,748.38
  4. Step 4: Simplify right side
    190,990.88x = 163,821,247,065.14
  5. Step 5: Solve for x
    x = 163,821,247,065.14/190,990.88
  6. Step 6: Final answer
    x = 857,743.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.