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Finding the Third Proportional to 96,729.75 and 210,727.75

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Solution

The third proportional to 96,729.75 and 210,727.75 is: 459,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,729.75 : 210,727.75 = 210,727.75 : x
  2. Step 2: Convert to fraction form
    96,729.75/210,727.75 = 210,727.75/x
  3. Step 3: Cross multiply
    96,729.75x = 210,727.75 × 210,727.75
  4. Step 4: Simplify right side
    96,729.75x = 44,406,184,620.06
  5. Step 5: Solve for x
    x = 44,406,184,620.06/96,729.75
  6. Step 6: Final answer
    x = 459,074.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.