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Finding the Third Proportional to 48,300.75 and 101,886.75

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Solution

The third proportional to 48,300.75 and 101,886.75 is: 214,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,300.75 : 101,886.75 = 101,886.75 : x
  2. Step 2: Convert to fraction form
    48,300.75/101,886.75 = 101,886.75/x
  3. Step 3: Cross multiply
    48,300.75x = 101,886.75 × 101,886.75
  4. Step 4: Simplify right side
    48,300.75x = 10,380,909,825.56
  5. Step 5: Solve for x
    x = 10,380,909,825.56/48,300.75
  6. Step 6: Final answer
    x = 214,922.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.