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Finding the Third Proportional to 97,314 and 209,177

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Solution

The third proportional to 97,314 and 209,177 is: 449,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,314 : 209,177 = 209,177 : x
  2. Step 2: Convert to fraction form
    97,314/209,177 = 209,177/x
  3. Step 3: Cross multiply
    97,314x = 209,177 × 209,177
  4. Step 4: Simplify right side
    97,314x = 43,755,017,329
  5. Step 5: Solve for x
    x = 43,755,017,329/97,314
  6. Step 6: Final answer
    x = 449,627.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.