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Finding the Third Proportional to 97,520.63 and 209,589.19

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Solution

The third proportional to 97,520.63 and 209,589.19 is: 450,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,520.63 : 209,589.19 = 209,589.19 : x
  2. Step 2: Convert to fraction form
    97,520.63/209,589.19 = 209,589.19/x
  3. Step 3: Cross multiply
    97,520.63x = 209,589.19 × 209,589.19
  4. Step 4: Simplify right side
    97,520.63x = 43,927,627,516.91
  5. Step 5: Solve for x
    x = 43,927,627,516.91/97,520.63
  6. Step 6: Final answer
    x = 450,444.48

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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.