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Finding the Third Proportional to 49,482.56 and 116,692.31

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Solution

The third proportional to 49,482.56 and 116,692.31 is: 275,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,482.56 : 116,692.31 = 116,692.31 : x
  2. Step 2: Convert to fraction form
    49,482.56/116,692.31 = 116,692.31/x
  3. Step 3: Cross multiply
    49,482.56x = 116,692.31 × 116,692.31
  4. Step 4: Simplify right side
    49,482.56x = 13,617,095,796.60
  5. Step 5: Solve for x
    x = 13,617,095,796.60/49,482.56
  6. Step 6: Final answer
    x = 275,189.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.