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Finding the Third Proportional to 133,890.19 and 195,704.16

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Solution

The third proportional to 133,890.19 and 195,704.16 is: 286,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,890.19 : 195,704.16 = 195,704.16 : x
  2. Step 2: Convert to fraction form
    133,890.19/195,704.16 = 195,704.16/x
  3. Step 3: Cross multiply
    133,890.19x = 195,704.16 × 195,704.16
  4. Step 4: Simplify right side
    133,890.19x = 38,300,116,773.52
  5. Step 5: Solve for x
    x = 38,300,116,773.52/133,890.19
  6. Step 6: Final answer
    x = 286,056.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.