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Finding the Third Proportional to 95,148 and 206,698.50

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Solution

The third proportional to 95,148 and 206,698.50 is: 449,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,148 : 206,698.50 = 206,698.50 : x
  2. Step 2: Convert to fraction form
    95,148/206,698.50 = 206,698.50/x
  3. Step 3: Cross multiply
    95,148x = 206,698.50 × 206,698.50
  4. Step 4: Simplify right side
    95,148x = 42,724,269,902.25
  5. Step 5: Solve for x
    x = 42,724,269,902.25/95,148
  6. Step 6: Final answer
    x = 449,029.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.