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Finding the Third Proportional to 101,573 and 218,755.50

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Solution

The third proportional to 101,573 and 218,755.50 is: 471,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,573 : 218,755.50 = 218,755.50 : x
  2. Step 2: Convert to fraction form
    101,573/218,755.50 = 218,755.50/x
  3. Step 3: Cross multiply
    101,573x = 218,755.50 × 218,755.50
  4. Step 4: Simplify right side
    101,573x = 47,853,968,780.25
  5. Step 5: Solve for x
    x = 47,853,968,780.25/101,573
  6. Step 6: Final answer
    x = 471,128.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.