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Finding the Third Proportional to 182,741,716 and 398,970,432

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Solution

The third proportional to 182,741,716 and 398,970,432 is: 871,051,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,741,716 : 398,970,432 = 398,970,432 : x
  2. Step 2: Convert to fraction form
    182,741,716/398,970,432 = 398,970,432/x
  3. Step 3: Cross multiply
    182,741,716x = 398,970,432 × 398,970,432
  4. Step 4: Simplify right side
    182,741,716x = 159,177,405,610,266,624
  5. Step 5: Solve for x
    x = 159,177,405,610,266,624/182,741,716
  6. Step 6: Final answer
    x = 871,051,279.89

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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.