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Finding the Third Proportional to 47,748.75 and 101,189.25

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Solution

The third proportional to 47,748.75 and 101,189.25 is: 214,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,748.75 : 101,189.25 = 101,189.25 : x
  2. Step 2: Convert to fraction form
    47,748.75/101,189.25 = 101,189.25/x
  3. Step 3: Cross multiply
    47,748.75x = 101,189.25 × 101,189.25
  4. Step 4: Simplify right side
    47,748.75x = 10,239,264,315.56
  5. Step 5: Solve for x
    x = 10,239,264,315.56/47,748.75
  6. Step 6: Final answer
    x = 214,440.47

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.