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Finding the Third Proportional to 46,447 and 100,346

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Solution

The third proportional to 46,447 and 100,346 is: 216,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,447 : 100,346 = 100,346 : x
  2. Step 2: Convert to fraction form
    46,447/100,346 = 100,346/x
  3. Step 3: Cross multiply
    46,447x = 100,346 × 100,346
  4. Step 4: Simplify right side
    46,447x = 10,069,319,716
  5. Step 5: Solve for x
    x = 10,069,319,716/46,447
  6. Step 6: Final answer
    x = 216,791.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.