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Finding the Third Proportional to 137,399,760 and 296,322,894

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Solution

The third proportional to 137,399,760 and 296,322,894 is: 639,064,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,399,760 : 296,322,894 = 296,322,894 : x
  2. Step 2: Convert to fraction form
    137,399,760/296,322,894 = 296,322,894/x
  3. Step 3: Cross multiply
    137,399,760x = 296,322,894 × 296,322,894
  4. Step 4: Simplify right side
    137,399,760x = 87,807,257,508,535,232
  5. Step 5: Solve for x
    x = 87,807,257,508,535,232/137,399,760
  6. Step 6: Final answer
    x = 639,064,125.79

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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.