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Finding the Third Proportional to 289,948,120,011.75 and 588,163,751,409.75

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Solution

The third proportional to 289,948,120,011.75 and 588,163,751,409.75 is: 1,193,098,263,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,948,120,011.75 : 588,163,751,409.75 = 588,163,751,409.75 : x
  2. Step 2: Convert to fraction form
    289,948,120,011.75/588,163,751,409.75 = 588,163,751,409.75/x
  3. Step 3: Cross multiply
    289,948,120,011.75x = 588,163,751,409.75 × 588,163,751,409.75
  4. Step 4: Simplify right side
    289,948,120,011.75x = 345,936,598,472,390,183,223,296
  5. Step 5: Solve for x
    x = 345,936,598,472,390,183,223,296/289,948,120,011.75
  6. Step 6: Final answer
    x = 1,193,098,263,435.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.