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Finding the Third Proportional to 46,381 and 99,322

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Solution

The third proportional to 46,381 and 99,322 is: 212,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,381 : 99,322 = 99,322 : x
  2. Step 2: Convert to fraction form
    46,381/99,322 = 99,322/x
  3. Step 3: Cross multiply
    46,381x = 99,322 × 99,322
  4. Step 4: Simplify right side
    46,381x = 9,864,859,684
  5. Step 5: Solve for x
    x = 9,864,859,684/46,381
  6. Step 6: Final answer
    x = 212,691.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.