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Finding the Third Proportional to 178,520,928 and 270,475,959

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Solution

The third proportional to 178,520,928 and 270,475,959 is: 409,796,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,520,928 : 270,475,959 = 270,475,959 : x
  2. Step 2: Convert to fraction form
    178,520,928/270,475,959 = 270,475,959/x
  3. Step 3: Cross multiply
    178,520,928x = 270,475,959 × 270,475,959
  4. Step 4: Simplify right side
    178,520,928x = 73,157,244,396,969,680
  5. Step 5: Solve for x
    x = 73,157,244,396,969,680/178,520,928
  6. Step 6: Final answer
    x = 409,796,460.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.