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Finding the Third Proportional to 198,036,898 and 302,747,379

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Solution

The third proportional to 198,036,898 and 302,747,379 is: 462,822,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,036,898 : 302,747,379 = 302,747,379 : x
  2. Step 2: Convert to fraction form
    198,036,898/302,747,379 = 302,747,379/x
  3. Step 3: Cross multiply
    198,036,898x = 302,747,379 × 302,747,379
  4. Step 4: Simplify right side
    198,036,898x = 91,655,975,491,369,648
  5. Step 5: Solve for x
    x = 91,655,975,491,369,648/198,036,898
  6. Step 6: Final answer
    x = 462,822,718.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.