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Finding the Third Proportional to 133,409,668 and 199,328,950

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Solution

The third proportional to 133,409,668 and 199,328,950 is: 297,819,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,409,668 : 199,328,950 = 199,328,950 : x
  2. Step 2: Convert to fraction form
    133,409,668/199,328,950 = 199,328,950/x
  3. Step 3: Cross multiply
    133,409,668x = 199,328,950 × 199,328,950
  4. Step 4: Simplify right side
    133,409,668x = 39,732,030,308,102,496
  5. Step 5: Solve for x
    x = 39,732,030,308,102,496/133,409,668
  6. Step 6: Final answer
    x = 297,819,722.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.