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Finding the Third Proportional to 47,847.38 and 104,765.06

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Solution

The third proportional to 47,847.38 and 104,765.06 is: 229,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,847.38 : 104,765.06 = 104,765.06 : x
  2. Step 2: Convert to fraction form
    47,847.38/104,765.06 = 104,765.06/x
  3. Step 3: Cross multiply
    47,847.38x = 104,765.06 × 104,765.06
  4. Step 4: Simplify right side
    47,847.38x = 10,975,718,320.63
  5. Step 5: Solve for x
    x = 10,975,718,320.63/47,847.38
  6. Step 6: Final answer
    x = 229,390.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.