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Finding the Third Proportional to 237,178,419,570 and 361,324,916,201

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Solution

The third proportional to 237,178,419,570 and 361,324,916,201 is: 550,453,516,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,178,419,570 : 361,324,916,201 = 361,324,916,201 : x
  2. Step 2: Convert to fraction form
    237,178,419,570/361,324,916,201 = 361,324,916,201/x
  3. Step 3: Cross multiply
    237,178,419,570x = 361,324,916,201 × 361,324,916,201
  4. Step 4: Simplify right side
    237,178,419,570x = 130,555,695,067,659,677,728,768
  5. Step 5: Solve for x
    x = 130,555,695,067,659,677,728,768/237,178,419,570
  6. Step 6: Final answer
    x = 550,453,516,404.89

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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.