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Finding the Third Proportional to 178,520,936 and 270,475,972

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Solution

The third proportional to 178,520,936 and 270,475,972 is: 409,796,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,520,936 : 270,475,972 = 270,475,972 : x
  2. Step 2: Convert to fraction form
    178,520,936/270,475,972 = 270,475,972/x
  3. Step 3: Cross multiply
    178,520,936x = 270,475,972 × 270,475,972
  4. Step 4: Simplify right side
    178,520,936x = 73,157,251,429,344,784
  5. Step 5: Solve for x
    x = 73,157,251,429,344,784/178,520,936
  6. Step 6: Final answer
    x = 409,796,481.40

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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.