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Finding the Third Proportional to 84,145.64 and 182,310.47

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Solution

The third proportional to 84,145.64 and 182,310.47 is: 394,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,145.64 : 182,310.47 = 182,310.47 : x
  2. Step 2: Convert to fraction form
    84,145.64/182,310.47 = 182,310.47/x
  3. Step 3: Cross multiply
    84,145.64x = 182,310.47 × 182,310.47
  4. Step 4: Simplify right side
    84,145.64x = 33,237,107,015.84
  5. Step 5: Solve for x
    x = 33,237,107,015.84/84,145.64
  6. Step 6: Final answer
    x = 394,995.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.