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Finding the Third Proportional to 185,109 and 399,012

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Solution

The third proportional to 185,109 and 399,012 is: 860,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,109 : 399,012 = 399,012 : x
  2. Step 2: Convert to fraction form
    185,109/399,012 = 399,012/x
  3. Step 3: Cross multiply
    185,109x = 399,012 × 399,012
  4. Step 4: Simplify right side
    185,109x = 159,210,576,144
  5. Step 5: Solve for x
    x = 159,210,576,144/185,109
  6. Step 6: Final answer
    x = 860,090.95

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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.