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Finding the Third Proportional to 176,227,459 and 381,743,707

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Solution

The third proportional to 176,227,459 and 381,743,707 is: 826,932,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,227,459 : 381,743,707 = 381,743,707 : x
  2. Step 2: Convert to fraction form
    176,227,459/381,743,707 = 381,743,707/x
  3. Step 3: Cross multiply
    176,227,459x = 381,743,707 × 381,743,707
  4. Step 4: Simplify right side
    176,227,459x = 145,728,257,834,101,856
  5. Step 5: Solve for x
    x = 145,728,257,834,101,856/176,227,459
  6. Step 6: Final answer
    x = 826,932,753.05

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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.