Home / 194,434,866.25-284,270,570.75

Finding the Third Proportional to 194,434,866.25 and 284,270,570.75

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Solution

The third proportional to 194,434,866.25 and 284,270,570.75 is: 415,613,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434,866.25 : 284,270,570.75 = 284,270,570.75 : x
  2. Step 2: Convert to fraction form
    194,434,866.25/284,270,570.75 = 284,270,570.75/x
  3. Step 3: Cross multiply
    194,434,866.25x = 284,270,570.75 × 284,270,570.75
  4. Step 4: Simplify right side
    194,434,866.25x = 80,809,757,394,530,752
  5. Step 5: Solve for x
    x = 80,809,757,394,530,752/194,434,866.25
  6. Step 6: Final answer
    x = 415,613,510.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.