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Finding the Third Proportional to 97,069.13 and 198,843

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Solution

The third proportional to 97,069.13 and 198,843 is: 407,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,069.13 : 198,843 = 198,843 : x
  2. Step 2: Convert to fraction form
    97,069.13/198,843 = 198,843/x
  3. Step 3: Cross multiply
    97,069.13x = 198,843 × 198,843
  4. Step 4: Simplify right side
    97,069.13x = 39,538,538,649
  5. Step 5: Solve for x
    x = 39,538,538,649/97,069.13
  6. Step 6: Final answer
    x = 407,323.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.