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Finding the Third Proportional to 150,409,255,847 and 227,548,352,890

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Solution

The third proportional to 150,409,255,847 and 227,548,352,890 is: 344,249,112,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,409,255,847 : 227,548,352,890 = 227,548,352,890 : x
  2. Step 2: Convert to fraction form
    150,409,255,847/227,548,352,890 = 227,548,352,890/x
  3. Step 3: Cross multiply
    150,409,255,847x = 227,548,352,890 × 227,548,352,890
  4. Step 4: Simplify right side
    150,409,255,847x = 51,778,252,902,951,968,309,248
  5. Step 5: Solve for x
    x = 51,778,252,902,951,968,309,248/150,409,255,847
  6. Step 6: Final answer
    x = 344,249,112,937.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.