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Finding the Third Proportional to 207,235,174 and 449,436,196

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Solution

The third proportional to 207,235,174 and 449,436,196 is: 974,703,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,235,174 : 449,436,196 = 449,436,196 : x
  2. Step 2: Convert to fraction form
    207,235,174/449,436,196 = 449,436,196/x
  3. Step 3: Cross multiply
    207,235,174x = 449,436,196 × 449,436,196
  4. Step 4: Simplify right side
    207,235,174x = 201,992,894,274,950,400
  5. Step 5: Solve for x
    x = 201,992,894,274,950,400/207,235,174
  6. Step 6: Final answer
    x = 974,703,716.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.