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Finding the Third Proportional to 172,673,349,648 and 385,049,897,760

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Solution

The third proportional to 172,673,349,648 and 385,049,897,760 is: 858,635,244,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,673,349,648 : 385,049,897,760 = 385,049,897,760 : x
  2. Step 2: Convert to fraction form
    172,673,349,648/385,049,897,760 = 385,049,897,760/x
  3. Step 3: Cross multiply
    172,673,349,648x = 385,049,897,760 × 385,049,897,760
  4. Step 4: Simplify right side
    172,673,349,648x = 148,263,423,764,986,452,770,816
  5. Step 5: Solve for x
    x = 148,263,423,764,986,452,770,816/172,673,349,648
  6. Step 6: Final answer
    x = 858,635,244,334.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.