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Finding the Third Proportional to 96,100 and 209,700

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Solution

The third proportional to 96,100 and 209,700 is: 457,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,100 : 209,700 = 209,700 : x
  2. Step 2: Convert to fraction form
    96,100/209,700 = 209,700/x
  3. Step 3: Cross multiply
    96,100x = 209,700 × 209,700
  4. Step 4: Simplify right side
    96,100x = 43,974,090,000
  5. Step 5: Solve for x
    x = 43,974,090,000/96,100
  6. Step 6: Final answer
    x = 457,586.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.