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Finding the Third Proportional to 289,198,012 and 440,573,223

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Solution

The third proportional to 289,198,012 and 440,573,223 is: 671,182,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,198,012 : 440,573,223 = 440,573,223 : x
  2. Step 2: Convert to fraction form
    289,198,012/440,573,223 = 440,573,223/x
  3. Step 3: Cross multiply
    289,198,012x = 440,573,223 × 440,573,223
  4. Step 4: Simplify right side
    289,198,012x = 194,104,764,824,607,744
  5. Step 5: Solve for x
    x = 194,104,764,824,607,744/289,198,012
  6. Step 6: Final answer
    x = 671,182,915.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.