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Finding the Third Proportional to 101,946.13 and 239,858.50

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Solution

The third proportional to 101,946.13 and 239,858.50 is: 564,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,946.13 : 239,858.50 = 239,858.50 : x
  2. Step 2: Convert to fraction form
    101,946.13/239,858.50 = 239,858.50/x
  3. Step 3: Cross multiply
    101,946.13x = 239,858.50 × 239,858.50
  4. Step 4: Simplify right side
    101,946.13x = 57,532,100,022.25
  5. Step 5: Solve for x
    x = 57,532,100,022.25/101,946.13
  6. Step 6: Final answer
    x = 564,338.27

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.