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Finding the Third Proportional to 84,204.75 and 180,080.25

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Solution

The third proportional to 84,204.75 and 180,080.25 is: 385,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,204.75 : 180,080.25 = 180,080.25 : x
  2. Step 2: Convert to fraction form
    84,204.75/180,080.25 = 180,080.25/x
  3. Step 3: Cross multiply
    84,204.75x = 180,080.25 × 180,080.25
  4. Step 4: Simplify right side
    84,204.75x = 32,428,896,440.06
  5. Step 5: Solve for x
    x = 32,428,896,440.06/84,204.75
  6. Step 6: Final answer
    x = 385,119.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.