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Finding the Third Proportional to 97,467 and 202,596

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Solution

The third proportional to 97,467 and 202,596 is: 421,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,467 : 202,596 = 202,596 : x
  2. Step 2: Convert to fraction form
    97,467/202,596 = 202,596/x
  3. Step 3: Cross multiply
    97,467x = 202,596 × 202,596
  4. Step 4: Simplify right side
    97,467x = 41,045,139,216
  5. Step 5: Solve for x
    x = 41,045,139,216/97,467
  6. Step 6: Final answer
    x = 421,118.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.