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Finding the Third Proportional to 196,260,616,305 and 426,908,123,487

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Solution

The third proportional to 196,260,616,305 and 426,908,123,487 is: 928,614,967,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,260,616,305 : 426,908,123,487 = 426,908,123,487 : x
  2. Step 2: Convert to fraction form
    196,260,616,305/426,908,123,487 = 426,908,123,487/x
  3. Step 3: Cross multiply
    196,260,616,305x = 426,908,123,487 × 426,908,123,487
  4. Step 4: Simplify right side
    196,260,616,305x = 182,250,545,899,191,635,279,872
  5. Step 5: Solve for x
    x = 182,250,545,899,191,635,279,872/196,260,616,305
  6. Step 6: Final answer
    x = 928,614,967,844.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.