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Finding the Third Proportional to 91,727.44 and 198,720.84

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Solution

The third proportional to 91,727.44 and 198,720.84 is: 430,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,727.44 : 198,720.84 = 198,720.84 : x
  2. Step 2: Convert to fraction form
    91,727.44/198,720.84 = 198,720.84/x
  3. Step 3: Cross multiply
    91,727.44x = 198,720.84 × 198,720.84
  4. Step 4: Simplify right side
    91,727.44x = 39,489,973,740.71
  5. Step 5: Solve for x
    x = 39,489,973,740.71/91,727.44
  6. Step 6: Final answer
    x = 430,514.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.