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Finding the Third Proportional to 46,350 and 95,982.75

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Solution

The third proportional to 46,350 and 95,982.75 is: 198,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,350 : 95,982.75 = 95,982.75 : x
  2. Step 2: Convert to fraction form
    46,350/95,982.75 = 95,982.75/x
  3. Step 3: Cross multiply
    46,350x = 95,982.75 × 95,982.75
  4. Step 4: Simplify right side
    46,350x = 9,212,688,297.56
  5. Step 5: Solve for x
    x = 9,212,688,297.56/46,350
  6. Step 6: Final answer
    x = 198,763.50

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Why These Related Problems?

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