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Finding the Third Proportional to 196,755,918 and 294,049,449

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Solution

The third proportional to 196,755,918 and 294,049,449 is: 439,453,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,755,918 : 294,049,449 = 294,049,449 : x
  2. Step 2: Convert to fraction form
    196,755,918/294,049,449 = 294,049,449/x
  3. Step 3: Cross multiply
    196,755,918x = 294,049,449 × 294,049,449
  4. Step 4: Simplify right side
    196,755,918x = 86,465,078,457,203,600
  5. Step 5: Solve for x
    x = 86,465,078,457,203,600/196,755,918
  6. Step 6: Final answer
    x = 439,453,508.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.