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Finding the Third Proportional to 46,286 and 99,604

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Solution

The third proportional to 46,286 and 99,604 is: 214,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,286 : 99,604 = 99,604 : x
  2. Step 2: Convert to fraction form
    46,286/99,604 = 99,604/x
  3. Step 3: Cross multiply
    46,286x = 99,604 × 99,604
  4. Step 4: Simplify right side
    46,286x = 9,920,956,816
  5. Step 5: Solve for x
    x = 9,920,956,816/46,286
  6. Step 6: Final answer
    x = 214,340.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.