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Finding the Third Proportional to 100,006,176.75 and 150,275,532.75

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Solution

The third proportional to 100,006,176.75 and 150,275,532.75 is: 225,813,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,176.75 : 150,275,532.75 = 150,275,532.75 : x
  2. Step 2: Convert to fraction form
    100,006,176.75/150,275,532.75 = 150,275,532.75/x
  3. Step 3: Cross multiply
    100,006,176.75x = 150,275,532.75 × 150,275,532.75
  4. Step 4: Simplify right side
    100,006,176.75x = 22,582,735,743,296,324
  5. Step 5: Solve for x
    x = 22,582,735,743,296,324/100,006,176.75
  6. Step 6: Final answer
    x = 225,813,409.50

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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.