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Finding the Third Proportional to 89,074.69 and 221,092.03

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Solution

The third proportional to 89,074.69 and 221,092.03 is: 548,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,074.69 : 221,092.03 = 221,092.03 : x
  2. Step 2: Convert to fraction form
    89,074.69/221,092.03 = 221,092.03/x
  3. Step 3: Cross multiply
    89,074.69x = 221,092.03 × 221,092.03
  4. Step 4: Simplify right side
    89,074.69x = 48,881,686,282.25
  5. Step 5: Solve for x
    x = 48,881,686,282.25/89,074.69
  6. Step 6: Final answer
    x = 548,771.91

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.