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Finding the Third Proportional to 163,647,047.25 and 254,076,297.75

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Solution

The third proportional to 163,647,047.25 and 254,076,297.75 is: 394,475,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,647,047.25 : 254,076,297.75 = 254,076,297.75 : x
  2. Step 2: Convert to fraction form
    163,647,047.25/254,076,297.75 = 254,076,297.75/x
  3. Step 3: Cross multiply
    163,647,047.25x = 254,076,297.75 × 254,076,297.75
  4. Step 4: Simplify right side
    163,647,047.25x = 64,554,765,078,346,656
  5. Step 5: Solve for x
    x = 64,554,765,078,346,656/163,647,047.25
  6. Step 6: Final answer
    x = 394,475,587.33

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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.