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Finding the Third Proportional to 101,775.23 and 220,773.09

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Solution

The third proportional to 101,775.23 and 220,773.09 is: 478,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,775.23 : 220,773.09 = 220,773.09 : x
  2. Step 2: Convert to fraction form
    101,775.23/220,773.09 = 220,773.09/x
  3. Step 3: Cross multiply
    101,775.23x = 220,773.09 × 220,773.09
  4. Step 4: Simplify right side
    101,775.23x = 48,740,758,923.95
  5. Step 5: Solve for x
    x = 48,740,758,923.95/101,775.23
  6. Step 6: Final answer
    x = 478,905.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.