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Finding the Third Proportional to 89,321.63 and 191,594.38

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Solution

The third proportional to 89,321.63 and 191,594.38 is: 410,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,321.63 : 191,594.38 = 191,594.38 : x
  2. Step 2: Convert to fraction form
    89,321.63/191,594.38 = 191,594.38/x
  3. Step 3: Cross multiply
    89,321.63x = 191,594.38 × 191,594.38
  4. Step 4: Simplify right side
    89,321.63x = 36,708,404,531.64
  5. Step 5: Solve for x
    x = 36,708,404,531.64/89,321.63
  6. Step 6: Final answer
    x = 410,968.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.