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Finding the Third Proportional to 97,321.88 and 209,193.38

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Solution

The third proportional to 97,321.88 and 209,193.38 is: 449,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,321.88 : 209,193.38 = 209,193.38 : x
  2. Step 2: Convert to fraction form
    97,321.88/209,193.38 = 209,193.38/x
  3. Step 3: Cross multiply
    97,321.88x = 209,193.38 × 209,193.38
  4. Step 4: Simplify right side
    97,321.88x = 43,761,868,143.89
  5. Step 5: Solve for x
    x = 43,761,868,143.89/97,321.88
  6. Step 6: Final answer
    x = 449,661.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.