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Finding the Third Proportional to 268,929,931 and 395,704,693

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Solution

The third proportional to 268,929,931 and 395,704,693 is: 582,241,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,929,931 : 395,704,693 = 395,704,693 : x
  2. Step 2: Convert to fraction form
    268,929,931/395,704,693 = 395,704,693/x
  3. Step 3: Cross multiply
    268,929,931x = 395,704,693 × 395,704,693
  4. Step 4: Simplify right side
    268,929,931x = 156,582,204,062,224,256
  5. Step 5: Solve for x
    x = 156,582,204,062,224,256/268,929,931
  6. Step 6: Final answer
    x = 582,241,639.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.