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Finding the Third Proportional to 91,922.34 and 144,440.72

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Solution

The third proportional to 91,922.34 and 144,440.72 is: 226,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,922.34 : 144,440.72 = 144,440.72 : x
  2. Step 2: Convert to fraction form
    91,922.34/144,440.72 = 144,440.72/x
  3. Step 3: Cross multiply
    91,922.34x = 144,440.72 × 144,440.72
  4. Step 4: Simplify right side
    91,922.34x = 20,863,121,233.02
  5. Step 5: Solve for x
    x = 20,863,121,233.02/91,922.34
  6. Step 6: Final answer
    x = 226,964.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.