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Finding the Third Proportional to 196,839,942 and 459,906,927

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Solution

The third proportional to 196,839,942 and 459,906,927 is: 1,074,550,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,839,942 : 459,906,927 = 459,906,927 : x
  2. Step 2: Convert to fraction form
    196,839,942/459,906,927 = 459,906,927/x
  3. Step 3: Cross multiply
    196,839,942x = 459,906,927 × 459,906,927
  4. Step 4: Simplify right side
    196,839,942x = 211,514,381,502,583,328
  5. Step 5: Solve for x
    x = 211,514,381,502,583,328/196,839,942
  6. Step 6: Final answer
    x = 1,074,550,110.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.