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Finding the Third Proportional to 139,078.69 and 209,266.03

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Solution

The third proportional to 139,078.69 and 209,266.03 is: 314,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,078.69 : 209,266.03 = 209,266.03 : x
  2. Step 2: Convert to fraction form
    139,078.69/209,266.03 = 209,266.03/x
  3. Step 3: Cross multiply
    139,078.69x = 209,266.03 × 209,266.03
  4. Step 4: Simplify right side
    139,078.69x = 43,792,271,835.13
  5. Step 5: Solve for x
    x = 43,792,271,835.13/139,078.69
  6. Step 6: Final answer
    x = 314,874.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.