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Finding the Third Proportional to 260,192,750.50 and 568,065,235.50

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Solution

The third proportional to 260,192,750.50 and 568,065,235.50 is: 1,240,227,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,192,750.50 : 568,065,235.50 = 568,065,235.50 : x
  2. Step 2: Convert to fraction form
    260,192,750.50/568,065,235.50 = 568,065,235.50/x
  3. Step 3: Cross multiply
    260,192,750.50x = 568,065,235.50 × 568,065,235.50
  4. Step 4: Simplify right side
    260,192,750.50x = 322,698,111,783,670,464
  5. Step 5: Solve for x
    x = 322,698,111,783,670,464/260,192,750.50
  6. Step 6: Final answer
    x = 1,240,227,143.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.