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Finding the Third Proportional to 97,512.56 and 209,574.56

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Solution

The third proportional to 97,512.56 and 209,574.56 is: 450,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,512.56 : 209,574.56 = 209,574.56 : x
  2. Step 2: Convert to fraction form
    97,512.56/209,574.56 = 209,574.56/x
  3. Step 3: Cross multiply
    97,512.56x = 209,574.56 × 209,574.56
  4. Step 4: Simplify right side
    97,512.56x = 43,921,497,247.07
  5. Step 5: Solve for x
    x = 43,921,497,247.07/97,512.56
  6. Step 6: Final answer
    x = 450,418.86

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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.