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Finding the Third Proportional to 100,603.50 and 213,199.50

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Solution

The third proportional to 100,603.50 and 213,199.50 is: 451,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,603.50 : 213,199.50 = 213,199.50 : x
  2. Step 2: Convert to fraction form
    100,603.50/213,199.50 = 213,199.50/x
  3. Step 3: Cross multiply
    100,603.50x = 213,199.50 × 213,199.50
  4. Step 4: Simplify right side
    100,603.50x = 45,454,026,800.25
  5. Step 5: Solve for x
    x = 45,454,026,800.25/100,603.50
  6. Step 6: Final answer
    x = 451,813.57

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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.