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Finding the Third Proportional to 86,519 and 191,826

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Solution

The third proportional to 86,519 and 191,826 is: 425,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,519 : 191,826 = 191,826 : x
  2. Step 2: Convert to fraction form
    86,519/191,826 = 191,826/x
  3. Step 3: Cross multiply
    86,519x = 191,826 × 191,826
  4. Step 4: Simplify right side
    86,519x = 36,797,214,276
  5. Step 5: Solve for x
    x = 36,797,214,276/86,519
  6. Step 6: Final answer
    x = 425,307.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.