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Finding the Third Proportional to 70,181.44 and 98,220.09

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Solution

The third proportional to 70,181.44 and 98,220.09 is: 137,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,181.44 : 98,220.09 = 98,220.09 : x
  2. Step 2: Convert to fraction form
    70,181.44/98,220.09 = 98,220.09/x
  3. Step 3: Cross multiply
    70,181.44x = 98,220.09 × 98,220.09
  4. Step 4: Simplify right side
    70,181.44x = 9,647,186,816.26
  5. Step 5: Solve for x
    x = 9,647,186,816.26/70,181.44
  6. Step 6: Final answer
    x = 137,460.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.