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Finding the Third Proportional to 144,809,360,941 and 311,750,100,025

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Solution

The third proportional to 144,809,360,941 and 311,750,100,025 is: 671,145,319,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,809,360,941 : 311,750,100,025 = 311,750,100,025 : x
  2. Step 2: Convert to fraction form
    144,809,360,941/311,750,100,025 = 311,750,100,025/x
  3. Step 3: Cross multiply
    144,809,360,941x = 311,750,100,025 × 311,750,100,025
  4. Step 4: Simplify right side
    144,809,360,941x = 97,188,124,865,597,504,749,568
  5. Step 5: Solve for x
    x = 97,188,124,865,597,504,749,568/144,809,360,941
  6. Step 6: Final answer
    x = 671,145,319,847.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.