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Finding the Third Proportional to 91,482 and 199,796

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Solution

The third proportional to 91,482 and 199,796 is: 436,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,482 : 199,796 = 199,796 : x
  2. Step 2: Convert to fraction form
    91,482/199,796 = 199,796/x
  3. Step 3: Cross multiply
    91,482x = 199,796 × 199,796
  4. Step 4: Simplify right side
    91,482x = 39,918,441,616
  5. Step 5: Solve for x
    x = 39,918,441,616/91,482
  6. Step 6: Final answer
    x = 436,352.96

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Why These Related Problems?

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