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Finding the Third Proportional to 97,502,558,694.25 and 197,746,667,310.25

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Solution

The third proportional to 97,502,558,694.25 and 197,746,667,310.25 is: 401,053,520,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,502,558,694.25 : 197,746,667,310.25 = 197,746,667,310.25 : x
  2. Step 2: Convert to fraction form
    97,502,558,694.25/197,746,667,310.25 = 197,746,667,310.25/x
  3. Step 3: Cross multiply
    97,502,558,694.25x = 197,746,667,310.25 × 197,746,667,310.25
  4. Step 4: Simplify right side
    97,502,558,694.25x = 39,103,744,432,310,696,542,208
  5. Step 5: Solve for x
    x = 39,103,744,432,310,696,542,208/97,502,558,694.25
  6. Step 6: Final answer
    x = 401,053,520,604.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.