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Finding the Third Proportional to 176,227,455 and 381,743,697

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Solution

The third proportional to 176,227,455 and 381,743,697 is: 826,932,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,227,455 : 381,743,697 = 381,743,697 : x
  2. Step 2: Convert to fraction form
    176,227,455/381,743,697 = 381,743,697/x
  3. Step 3: Cross multiply
    176,227,455x = 381,743,697 × 381,743,697
  4. Step 4: Simplify right side
    176,227,455x = 145,728,250,199,227,808
  5. Step 5: Solve for x
    x = 145,728,250,199,227,808/176,227,455
  6. Step 6: Final answer
    x = 826,932,728.50

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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.