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Finding the Third Proportional to 195,699,226.50 and 273,744,937.13

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Solution

The third proportional to 195,699,226.50 and 273,744,937.13 is: 382,915,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,699,226.50 : 273,744,937.13 = 273,744,937.13 : x
  2. Step 2: Convert to fraction form
    195,699,226.50/273,744,937.13 = 273,744,937.13/x
  3. Step 3: Cross multiply
    195,699,226.50x = 273,744,937.13 × 273,744,937.13
  4. Step 4: Simplify right side
    195,699,226.50x = 74,936,290,601,570,208
  5. Step 5: Solve for x
    x = 74,936,290,601,570,208/195,699,226.50
  6. Step 6: Final answer
    x = 382,915,619.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.