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Finding the Third Proportional to 195,918.50 and 400,139.50

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Solution

The third proportional to 195,918.50 and 400,139.50 is: 817,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,918.50 : 400,139.50 = 400,139.50 : x
  2. Step 2: Convert to fraction form
    195,918.50/400,139.50 = 400,139.50/x
  3. Step 3: Cross multiply
    195,918.50x = 400,139.50 × 400,139.50
  4. Step 4: Simplify right side
    195,918.50x = 160,111,619,460.25
  5. Step 5: Solve for x
    x = 160,111,619,460.25/195,918.50
  6. Step 6: Final answer
    x = 817,235.84

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.