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Finding the Third Proportional to 248,392,343,161.50 and 540,305,595,219

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Solution

The third proportional to 248,392,343,161.50 and 540,305,595,219 is: 1,175,278,321,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,392,343,161.50 : 540,305,595,219 = 540,305,595,219 : x
  2. Step 2: Convert to fraction form
    248,392,343,161.50/540,305,595,219 = 540,305,595,219/x
  3. Step 3: Cross multiply
    248,392,343,161.50x = 540,305,595,219 × 540,305,595,219
  4. Step 4: Simplify right side
    248,392,343,161.50x = 291,930,136,224,957,860,937,728
  5. Step 5: Solve for x
    x = 291,930,136,224,957,860,937,728/248,392,343,161.50
  6. Step 6: Final answer
    x = 1,175,278,321,824.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.