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Finding the Third Proportional to 91,823.63 and 131,447.81

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Solution

The third proportional to 91,823.63 and 131,447.81 is: 188,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,823.63 : 131,447.81 = 131,447.81 : x
  2. Step 2: Convert to fraction form
    91,823.63/131,447.81 = 131,447.81/x
  3. Step 3: Cross multiply
    91,823.63x = 131,447.81 × 131,447.81
  4. Step 4: Simplify right side
    91,823.63x = 17,278,527,411.04
  5. Step 5: Solve for x
    x = 17,278,527,411.04/91,823.63
  6. Step 6: Final answer
    x = 188,170.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.