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Finding the Third Proportional to 150,248,760 and 326,361,990

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Solution

The third proportional to 150,248,760 and 326,361,990 is: 708,905,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,248,760 : 326,361,990 = 326,361,990 : x
  2. Step 2: Convert to fraction form
    150,248,760/326,361,990 = 326,361,990/x
  3. Step 3: Cross multiply
    150,248,760x = 326,361,990 × 326,361,990
  4. Step 4: Simplify right side
    150,248,760x = 106,512,148,516,760,096
  5. Step 5: Solve for x
    x = 106,512,148,516,760,096/150,248,760
  6. Step 6: Final answer
    x = 708,905,341.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.