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Finding the Third Proportional to 46,446 and 100,344

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Solution

The third proportional to 46,446 and 100,344 is: 216,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,446 : 100,344 = 100,344 : x
  2. Step 2: Convert to fraction form
    46,446/100,344 = 100,344/x
  3. Step 3: Cross multiply
    46,446x = 100,344 × 100,344
  4. Step 4: Simplify right side
    46,446x = 10,068,918,336
  5. Step 5: Solve for x
    x = 10,068,918,336/46,446
  6. Step 6: Final answer
    x = 216,787.63

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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.