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Finding the Third Proportional to 101,060.50 and 214,443.50

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Solution

The third proportional to 101,060.50 and 214,443.50 is: 455,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,060.50 : 214,443.50 = 214,443.50 : x
  2. Step 2: Convert to fraction form
    101,060.50/214,443.50 = 214,443.50/x
  3. Step 3: Cross multiply
    101,060.50x = 214,443.50 × 214,443.50
  4. Step 4: Simplify right side
    101,060.50x = 45,986,014,692.25
  5. Step 5: Solve for x
    x = 45,986,014,692.25/101,060.50
  6. Step 6: Final answer
    x = 455,034.51

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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.