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Finding the Third Proportional to 163,647,049 and 254,076,301

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Solution

The third proportional to 163,647,049 and 254,076,301 is: 394,475,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,647,049 : 254,076,301 = 254,076,301 : x
  2. Step 2: Convert to fraction form
    163,647,049/254,076,301 = 254,076,301/x
  3. Step 3: Cross multiply
    163,647,049x = 254,076,301 × 254,076,301
  4. Step 4: Simplify right side
    163,647,049x = 64,554,766,729,842,600
  5. Step 5: Solve for x
    x = 64,554,766,729,842,600/163,647,049
  6. Step 6: Final answer
    x = 394,475,593.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.