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Finding the Third Proportional to 133,727.84 and 195,790.92

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Solution

The third proportional to 133,727.84 and 195,790.92 is: 286,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,727.84 : 195,790.92 = 195,790.92 : x
  2. Step 2: Convert to fraction form
    133,727.84/195,790.92 = 195,790.92/x
  3. Step 3: Cross multiply
    133,727.84x = 195,790.92 × 195,790.92
  4. Step 4: Simplify right side
    133,727.84x = 38,334,085,088.66
  5. Step 5: Solve for x
    x = 38,334,085,088.66/133,727.84
  6. Step 6: Final answer
    x = 286,657.48

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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.