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Finding the Third Proportional to 97,852.50 and 210,183.75

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Solution

The third proportional to 97,852.50 and 210,183.75 is: 451,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.50 : 210,183.75 = 210,183.75 : x
  2. Step 2: Convert to fraction form
    97,852.50/210,183.75 = 210,183.75/x
  3. Step 3: Cross multiply
    97,852.50x = 210,183.75 × 210,183.75
  4. Step 4: Simplify right side
    97,852.50x = 44,177,208,764.06
  5. Step 5: Solve for x
    x = 44,177,208,764.06/97,852.50
  6. Step 6: Final answer
    x = 451,467.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.