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Finding the Third Proportional to 146,551,100,266 and 317,437,182,847

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Solution

The third proportional to 146,551,100,266 and 317,437,182,847 is: 687,585,182,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,551,100,266 : 317,437,182,847 = 317,437,182,847 : x
  2. Step 2: Convert to fraction form
    146,551,100,266/317,437,182,847 = 317,437,182,847/x
  3. Step 3: Cross multiply
    146,551,100,266x = 317,437,182,847 × 317,437,182,847
  4. Step 4: Simplify right side
    146,551,100,266x = 100,766,365,053,839,717,957,632
  5. Step 5: Solve for x
    x = 100,766,365,053,839,717,957,632/146,551,100,266
  6. Step 6: Final answer
    x = 687,585,182,717.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.