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Finding the Third Proportional to 145,651.50 and 196,786.13

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Solution

The third proportional to 145,651.50 and 196,786.13 is: 265,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,651.50 : 196,786.13 = 196,786.13 : x
  2. Step 2: Convert to fraction form
    145,651.50/196,786.13 = 196,786.13/x
  3. Step 3: Cross multiply
    145,651.50x = 196,786.13 × 196,786.13
  4. Step 4: Simplify right side
    145,651.50x = 38,724,778,992.52
  5. Step 5: Solve for x
    x = 38,724,778,992.52/145,651.50
  6. Step 6: Final answer
    x = 265,872.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.