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Finding the Third Proportional to 178,739,233 and 385,694,626

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Solution

The third proportional to 178,739,233 and 385,694,626 is: 832,275,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,739,233 : 385,694,626 = 385,694,626 : x
  2. Step 2: Convert to fraction form
    178,739,233/385,694,626 = 385,694,626/x
  3. Step 3: Cross multiply
    178,739,233x = 385,694,626 × 385,694,626
  4. Step 4: Simplify right side
    178,739,233x = 148,760,344,525,279,872
  5. Step 5: Solve for x
    x = 148,760,344,525,279,872/178,739,233
  6. Step 6: Final answer
    x = 832,275,835.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.