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Finding the Third Proportional to 260,192,749.50 and 568,065,233.25

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Solution

The third proportional to 260,192,749.50 and 568,065,233.25 is: 1,240,227,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,192,749.50 : 568,065,233.25 = 568,065,233.25 : x
  2. Step 2: Convert to fraction form
    260,192,749.50/568,065,233.25 = 568,065,233.25/x
  3. Step 3: Cross multiply
    260,192,749.50x = 568,065,233.25 × 568,065,233.25
  4. Step 4: Simplify right side
    260,192,749.50x = 322,698,109,227,376,896
  5. Step 5: Solve for x
    x = 322,698,109,227,376,896/260,192,749.50
  6. Step 6: Final answer
    x = 1,240,227,138.72

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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.