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Finding the Third Proportional to 97,322 and 209,836

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Solution

The third proportional to 97,322 and 209,836 is: 452,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,322 : 209,836 = 209,836 : x
  2. Step 2: Convert to fraction form
    97,322/209,836 = 209,836/x
  3. Step 3: Cross multiply
    97,322x = 209,836 × 209,836
  4. Step 4: Simplify right side
    97,322x = 44,031,146,896
  5. Step 5: Solve for x
    x = 44,031,146,896/97,322
  6. Step 6: Final answer
    x = 452,427.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.