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Finding the Third Proportional to 82,354,892 and 177,474,208

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Solution

The third proportional to 82,354,892 and 177,474,208 is: 382,455,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354,892 : 177,474,208 = 177,474,208 : x
  2. Step 2: Convert to fraction form
    82,354,892/177,474,208 = 177,474,208/x
  3. Step 3: Cross multiply
    82,354,892x = 177,474,208 × 177,474,208
  4. Step 4: Simplify right side
    82,354,892x = 31,497,094,505,227,264
  5. Step 5: Solve for x
    x = 31,497,094,505,227,264/82,354,892
  6. Step 6: Final answer
    x = 382,455,659.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.