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Finding the Third Proportional to 41,186 and 97,205

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Solution

The third proportional to 41,186 and 97,205 is: 229,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,186 : 97,205 = 97,205 : x
  2. Step 2: Convert to fraction form
    41,186/97,205 = 97,205/x
  3. Step 3: Cross multiply
    41,186x = 97,205 × 97,205
  4. Step 4: Simplify right side
    41,186x = 9,448,812,025
  5. Step 5: Solve for x
    x = 9,448,812,025/41,186
  6. Step 6: Final answer
    x = 229,418.06

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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.