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Finding the Third Proportional to 19,698.19 and 43,770.38

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Solution

The third proportional to 19,698.19 and 43,770.38 is: 97,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.19 : 43,770.38 = 43,770.38 : x
  2. Step 2: Convert to fraction form
    19,698.19/43,770.38 = 43,770.38/x
  3. Step 3: Cross multiply
    19,698.19x = 43,770.38 × 43,770.38
  4. Step 4: Simplify right side
    19,698.19x = 1,915,845,727.64
  5. Step 5: Solve for x
    x = 1,915,845,727.64/19,698.19
  6. Step 6: Final answer
    x = 97,260.00

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.