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Finding the Third Proportional to 157,327,842 and 246,800,960.25

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Solution

The third proportional to 157,327,842 and 246,800,960.25 is: 387,157,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,327,842 : 246,800,960.25 = 246,800,960.25 : x
  2. Step 2: Convert to fraction form
    157,327,842/246,800,960.25 = 246,800,960.25/x
  3. Step 3: Cross multiply
    157,327,842x = 246,800,960.25 × 246,800,960.25
  4. Step 4: Simplify right side
    157,327,842x = 60,910,713,980,322,080
  5. Step 5: Solve for x
    x = 60,910,713,980,322,080/157,327,842
  6. Step 6: Final answer
    x = 387,157,881.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.