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Finding the Third Proportional to 83,090.75 and 181,220.25

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Solution

The third proportional to 83,090.75 and 181,220.25 is: 395,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090.75 : 181,220.25 = 181,220.25 : x
  2. Step 2: Convert to fraction form
    83,090.75/181,220.25 = 181,220.25/x
  3. Step 3: Cross multiply
    83,090.75x = 181,220.25 × 181,220.25
  4. Step 4: Simplify right side
    83,090.75x = 32,840,779,010.06
  5. Step 5: Solve for x
    x = 32,840,779,010.06/83,090.75
  6. Step 6: Final answer
    x = 395,239.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.