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Finding the Third Proportional to 146,222,512 and 227,142,991

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Solution

The third proportional to 146,222,512 and 227,142,991 is: 352,845,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,222,512 : 227,142,991 = 227,142,991 : x
  2. Step 2: Convert to fraction form
    146,222,512/227,142,991 = 227,142,991/x
  3. Step 3: Cross multiply
    146,222,512x = 227,142,991 × 227,142,991
  4. Step 4: Simplify right side
    146,222,512x = 51,593,938,360,426,080
  5. Step 5: Solve for x
    x = 51,593,938,360,426,080/146,222,512
  6. Step 6: Final answer
    x = 352,845,383.76

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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.