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Finding the Third Proportional to 88,519 and 191,793

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Solution

The third proportional to 88,519 and 191,793 is: 415,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,519 : 191,793 = 191,793 : x
  2. Step 2: Convert to fraction form
    88,519/191,793 = 191,793/x
  3. Step 3: Cross multiply
    88,519x = 191,793 × 191,793
  4. Step 4: Simplify right side
    88,519x = 36,784,554,849
  5. Step 5: Solve for x
    x = 36,784,554,849/88,519
  6. Step 6: Final answer
    x = 415,555.47

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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.