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Finding the Third Proportional to 48,404.38 and 104,852.75

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Solution

The third proportional to 48,404.38 and 104,852.75 is: 227,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,404.38 : 104,852.75 = 104,852.75 : x
  2. Step 2: Convert to fraction form
    48,404.38/104,852.75 = 104,852.75/x
  3. Step 3: Cross multiply
    48,404.38x = 104,852.75 × 104,852.75
  4. Step 4: Simplify right side
    48,404.38x = 10,994,099,182.56
  5. Step 5: Solve for x
    x = 10,994,099,182.56/48,404.38
  6. Step 6: Final answer
    x = 227,130.28

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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.