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Finding the Third Proportional to 97,320.23 and 209,190.09

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Solution

The third proportional to 97,320.23 and 209,190.09 is: 449,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,320.23 : 209,190.09 = 209,190.09 : x
  2. Step 2: Convert to fraction form
    97,320.23/209,190.09 = 209,190.09/x
  3. Step 3: Cross multiply
    97,320.23x = 209,190.09 × 209,190.09
  4. Step 4: Simplify right side
    97,320.23x = 43,760,495,323.13
  5. Step 5: Solve for x
    x = 43,760,495,323.13/97,320.23
  6. Step 6: Final answer
    x = 449,654.64

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