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Finding the Third Proportional to 248,392,343,143 and 540,305,595,177

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Solution

The third proportional to 248,392,343,143 and 540,305,595,177 is: 1,175,278,321,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,392,343,143 : 540,305,595,177 = 540,305,595,177 : x
  2. Step 2: Convert to fraction form
    248,392,343,143/540,305,595,177 = 540,305,595,177/x
  3. Step 3: Cross multiply
    248,392,343,143x = 540,305,595,177 × 540,305,595,177
  4. Step 4: Simplify right side
    248,392,343,143x = 291,930,136,179,572,203,323,392
  5. Step 5: Solve for x
    x = 291,930,136,179,572,203,323,392/248,392,343,143
  6. Step 6: Final answer
    x = 1,175,278,321,729.54

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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.