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Finding the Third Proportional to 94,548.36 and 204,847.10

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Solution

The third proportional to 94,548.36 and 204,847.10 is: 443,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,548.36 : 204,847.10 = 204,847.10 : x
  2. Step 2: Convert to fraction form
    94,548.36/204,847.10 = 204,847.10/x
  3. Step 3: Cross multiply
    94,548.36x = 204,847.10 × 204,847.10
  4. Step 4: Simplify right side
    94,548.36x = 41,962,335,018.56
  5. Step 5: Solve for x
    x = 41,962,335,018.56/94,548.36
  6. Step 6: Final answer
    x = 443,818.76

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Why These Related Problems?

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