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Finding the Third Proportional to 146,222,305.88 and 227,142,689.63

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Solution

The third proportional to 146,222,305.88 and 227,142,689.63 is: 352,844,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,222,305.88 : 227,142,689.63 = 227,142,689.63 : x
  2. Step 2: Convert to fraction form
    146,222,305.88/227,142,689.63 = 227,142,689.63/x
  3. Step 3: Cross multiply
    146,222,305.88x = 227,142,689.63 × 227,142,689.63
  4. Step 4: Simplify right side
    146,222,305.88x = 51,593,801,450,079,080
  5. Step 5: Solve for x
    x = 51,593,801,450,079,080/146,222,305.88
  6. Step 6: Final answer
    x = 352,844,944.83

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