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Finding the Third Proportional to 88,209 and 208,197

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Solution

The third proportional to 88,209 and 208,197 is: 491,401

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,209 : 208,197 = 208,197 : x
  2. Step 2: Convert to fraction form
    88,209/208,197 = 208,197/x
  3. Step 3: Cross multiply
    88,209x = 208,197 × 208,197
  4. Step 4: Simplify right side
    88,209x = 43,345,990,809
  5. Step 5: Solve for x
    x = 43,345,990,809/88,209
  6. Step 6: Final answer
    x = 491,401

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.