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Finding the Third Proportional to 150,409,255,845 and 227,548,352,887

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Solution

The third proportional to 150,409,255,845 and 227,548,352,887 is: 344,249,112,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,409,255,845 : 227,548,352,887 = 227,548,352,887 : x
  2. Step 2: Convert to fraction form
    150,409,255,845/227,548,352,887 = 227,548,352,887/x
  3. Step 3: Cross multiply
    150,409,255,845x = 227,548,352,887 × 227,548,352,887
  4. Step 4: Simplify right side
    150,409,255,845x = 51,778,252,901,586,680,414,208
  5. Step 5: Solve for x
    x = 51,778,252,901,586,680,414,208/150,409,255,845
  6. Step 6: Final answer
    x = 344,249,112,933.22

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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.