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Finding the Third Proportional to 237,178,419,542 and 361,324,916,157

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Solution

The third proportional to 237,178,419,542 and 361,324,916,157 is: 550,453,516,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,178,419,542 : 361,324,916,157 = 361,324,916,157 : x
  2. Step 2: Convert to fraction form
    237,178,419,542/361,324,916,157 = 361,324,916,157/x
  3. Step 3: Cross multiply
    237,178,419,542x = 361,324,916,157 × 361,324,916,157
  4. Step 4: Simplify right side
    237,178,419,542x = 130,555,695,035,863,078,535,168
  5. Step 5: Solve for x
    x = 130,555,695,035,863,078,535,168/237,178,419,542
  6. Step 6: Final answer
    x = 550,453,516,335.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.