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Finding the Third Proportional to 49,427.30 and 102,359.25

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Solution

The third proportional to 49,427.30 and 102,359.25 is: 211,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,427.30 : 102,359.25 = 102,359.25 : x
  2. Step 2: Convert to fraction form
    49,427.30/102,359.25 = 102,359.25/x
  3. Step 3: Cross multiply
    49,427.30x = 102,359.25 × 102,359.25
  4. Step 4: Simplify right side
    49,427.30x = 10,477,416,060.56
  5. Step 5: Solve for x
    x = 10,477,416,060.56/49,427.30
  6. Step 6: Final answer
    x = 211,976.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.