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Finding the Third Proportional to 248,392,351,430 and 540,305,611,180

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Solution

The third proportional to 248,392,351,430 and 540,305,611,180 is: 1,175,278,352,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,392,351,430 : 540,305,611,180 = 540,305,611,180 : x
  2. Step 2: Convert to fraction form
    248,392,351,430/540,305,611,180 = 540,305,611,180/x
  3. Step 3: Cross multiply
    248,392,351,430x = 540,305,611,180 × 540,305,611,180
  4. Step 4: Simplify right side
    248,392,351,430x = 291,930,153,472,593,340,923,904
  5. Step 5: Solve for x
    x = 291,930,153,472,593,340,923,904/248,392,351,430
  6. Step 6: Final answer
    x = 1,175,278,352,139.05

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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.