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Finding the Third Proportional to 89,969.63 and 191,009.25

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Solution

The third proportional to 89,969.63 and 191,009.25 is: 405,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,969.63 : 191,009.25 = 191,009.25 : x
  2. Step 2: Convert to fraction form
    89,969.63/191,009.25 = 191,009.25/x
  3. Step 3: Cross multiply
    89,969.63x = 191,009.25 × 191,009.25
  4. Step 4: Simplify right side
    89,969.63x = 36,484,533,585.56
  5. Step 5: Solve for x
    x = 36,484,533,585.56/89,969.63
  6. Step 6: Final answer
    x = 405,520.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.