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Finding the Third Proportional to 98,382 and 211,098

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Solution

The third proportional to 98,382 and 211,098 is: 452,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382 : 211,098 = 211,098 : x
  2. Step 2: Convert to fraction form
    98,382/211,098 = 211,098/x
  3. Step 3: Cross multiply
    98,382x = 211,098 × 211,098
  4. Step 4: Simplify right side
    98,382x = 44,562,365,604
  5. Step 5: Solve for x
    x = 44,562,365,604/98,382
  6. Step 6: Final answer
    x = 452,952.43

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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.