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Finding the Third Proportional to 47,981.25 and 101,499.75

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Solution

The third proportional to 47,981.25 and 101,499.75 is: 214,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981.25 : 101,499.75 = 101,499.75 : x
  2. Step 2: Convert to fraction form
    47,981.25/101,499.75 = 101,499.75/x
  3. Step 3: Cross multiply
    47,981.25x = 101,499.75 × 101,499.75
  4. Step 4: Simplify right side
    47,981.25x = 10,302,199,250.06
  5. Step 5: Solve for x
    x = 10,302,199,250.06/47,981.25
  6. Step 6: Final answer
    x = 214,713.02

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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.