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Finding the Third Proportional to 95,807.50 and 197,764.50

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Solution

The third proportional to 95,807.50 and 197,764.50 is: 408,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,807.50 : 197,764.50 = 197,764.50 : x
  2. Step 2: Convert to fraction form
    95,807.50/197,764.50 = 197,764.50/x
  3. Step 3: Cross multiply
    95,807.50x = 197,764.50 × 197,764.50
  4. Step 4: Simplify right side
    95,807.50x = 39,110,797,460.25
  5. Step 5: Solve for x
    x = 39,110,797,460.25/95,807.50
  6. Step 6: Final answer
    x = 408,222.71

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.