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Finding the Third Proportional to 97,456 and 209,951

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Solution

The third proportional to 97,456 and 209,951 is: 452,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,456 : 209,951 = 209,951 : x
  2. Step 2: Convert to fraction form
    97,456/209,951 = 209,951/x
  3. Step 3: Cross multiply
    97,456x = 209,951 × 209,951
  4. Step 4: Simplify right side
    97,456x = 44,079,422,401
  5. Step 5: Solve for x
    x = 44,079,422,401/97,456
  6. Step 6: Final answer
    x = 452,300.76

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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.