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Finding the Third Proportional to 289,948,120,008 and 588,163,751,397

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Solution

The third proportional to 289,948,120,008 and 588,163,751,397 is: 1,193,098,263,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,948,120,008 : 588,163,751,397 = 588,163,751,397 : x
  2. Step 2: Convert to fraction form
    289,948,120,008/588,163,751,397 = 588,163,751,397/x
  3. Step 3: Cross multiply
    289,948,120,008x = 588,163,751,397 × 588,163,751,397
  4. Step 4: Simplify right side
    289,948,120,008x = 345,936,598,457,392,023,207,936
  5. Step 5: Solve for x
    x = 345,936,598,457,392,023,207,936/289,948,120,008
  6. Step 6: Final answer
    x = 1,193,098,263,399.15

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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.