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Finding the Third Proportional to 45,692.44 and 95,041.27

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Solution

The third proportional to 45,692.44 and 95,041.27 is: 197,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,692.44 : 95,041.27 = 95,041.27 : x
  2. Step 2: Convert to fraction form
    45,692.44/95,041.27 = 95,041.27/x
  3. Step 3: Cross multiply
    45,692.44x = 95,041.27 × 95,041.27
  4. Step 4: Simplify right side
    45,692.44x = 9,032,842,171.60
  5. Step 5: Solve for x
    x = 9,032,842,171.60/45,692.44
  6. Step 6: Final answer
    x = 197,687.90

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.