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Finding the Third Proportional to 47,093.06 and 97,498.69

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Solution

The third proportional to 47,093.06 and 97,498.69 is: 201,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,093.06 : 97,498.69 = 97,498.69 : x
  2. Step 2: Convert to fraction form
    47,093.06/97,498.69 = 97,498.69/x
  3. Step 3: Cross multiply
    47,093.06x = 97,498.69 × 97,498.69
  4. Step 4: Simplify right side
    47,093.06x = 9,505,994,064.22
  5. Step 5: Solve for x
    x = 9,505,994,064.22/47,093.06
  6. Step 6: Final answer
    x = 201,855.51

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.