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Finding the Third Proportional to 67,094,937 and 146,751,975

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Solution

The third proportional to 67,094,937 and 146,751,975 is: 320,980,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,094,937 : 146,751,975 = 146,751,975 : x
  2. Step 2: Convert to fraction form
    67,094,937/146,751,975 = 146,751,975/x
  3. Step 3: Cross multiply
    67,094,937x = 146,751,975 × 146,751,975
  4. Step 4: Simplify right side
    67,094,937x = 21,536,142,166,400,624
  5. Step 5: Solve for x
    x = 21,536,142,166,400,624/67,094,937
  6. Step 6: Final answer
    x = 320,980,138.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.