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Finding the Third Proportional to 98,841.09 and 211,983.47

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Solution

The third proportional to 98,841.09 and 211,983.47 is: 454,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,841.09 : 211,983.47 = 211,983.47 : x
  2. Step 2: Convert to fraction form
    98,841.09/211,983.47 = 211,983.47/x
  3. Step 3: Cross multiply
    98,841.09x = 211,983.47 × 211,983.47
  4. Step 4: Simplify right side
    98,841.09x = 44,936,991,023.28
  5. Step 5: Solve for x
    x = 44,936,991,023.28/98,841.09
  6. Step 6: Final answer
    x = 454,638.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.