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Finding the Third Proportional to 84,278.16 and 181,063.22

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Solution

The third proportional to 84,278.16 and 181,063.22 is: 388,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,278.16 : 181,063.22 = 181,063.22 : x
  2. Step 2: Convert to fraction form
    84,278.16/181,063.22 = 181,063.22/x
  3. Step 3: Cross multiply
    84,278.16x = 181,063.22 × 181,063.22
  4. Step 4: Simplify right side
    84,278.16x = 32,783,889,184.11
  5. Step 5: Solve for x
    x = 32,783,889,184.11/84,278.16
  6. Step 6: Final answer
    x = 388,996.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.