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Finding the Third Proportional to 66,670,823.25 and 100,183,734.75

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Solution

The third proportional to 66,670,823.25 and 100,183,734.75 is: 150,542,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,670,823.25 : 100,183,734.75 = 100,183,734.75 : x
  2. Step 2: Convert to fraction form
    66,670,823.25/100,183,734.75 = 100,183,734.75/x
  3. Step 3: Cross multiply
    66,670,823.25x = 100,183,734.75 × 100,183,734.75
  4. Step 4: Simplify right side
    66,670,823.25x = 10,036,780,708,458,358
  5. Step 5: Solve for x
    x = 10,036,780,708,458,358/66,670,823.25
  6. Step 6: Final answer
    x = 150,542,324.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.