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Finding the Third Proportional to 182,741,688 and 398,970,377

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Solution

The third proportional to 182,741,688 and 398,970,377 is: 871,051,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,741,688 : 398,970,377 = 398,970,377 : x
  2. Step 2: Convert to fraction form
    182,741,688/398,970,377 = 398,970,377/x
  3. Step 3: Cross multiply
    182,741,688x = 398,970,377 × 398,970,377
  4. Step 4: Simplify right side
    182,741,688x = 159,177,361,723,522,144
  5. Step 5: Solve for x
    x = 159,177,361,723,522,144/182,741,688
  6. Step 6: Final answer
    x = 871,051,173.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.