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Finding the Third Proportional to 106,363.13 and 218,193.75

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Solution

The third proportional to 106,363.13 and 218,193.75 is: 447,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,363.13 : 218,193.75 = 218,193.75 : x
  2. Step 2: Convert to fraction form
    106,363.13/218,193.75 = 218,193.75/x
  3. Step 3: Cross multiply
    106,363.13x = 218,193.75 × 218,193.75
  4. Step 4: Simplify right side
    106,363.13x = 47,608,512,539.06
  5. Step 5: Solve for x
    x = 47,608,512,539.06/106,363.13
  6. Step 6: Final answer
    x = 447,603.55

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.