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Finding the Third Proportional to 101,989.13 and 222,123.94

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Solution

The third proportional to 101,989.13 and 222,123.94 is: 483,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,989.13 : 222,123.94 = 222,123.94 : x
  2. Step 2: Convert to fraction form
    101,989.13/222,123.94 = 222,123.94/x
  3. Step 3: Cross multiply
    101,989.13x = 222,123.94 × 222,123.94
  4. Step 4: Simplify right side
    101,989.13x = 49,339,043,610.50
  5. Step 5: Solve for x
    x = 49,339,043,610.50/101,989.13
  6. Step 6: Final answer
    x = 483,767.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.