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Finding the Third Proportional to 46,190 and 99,504

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Solution

The third proportional to 46,190 and 99,504 is: 214,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,190 : 99,504 = 99,504 : x
  2. Step 2: Convert to fraction form
    46,190/99,504 = 99,504/x
  3. Step 3: Cross multiply
    46,190x = 99,504 × 99,504
  4. Step 4: Simplify right side
    46,190x = 9,901,046,016
  5. Step 5: Solve for x
    x = 9,901,046,016/46,190
  6. Step 6: Final answer
    x = 214,354.75

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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.