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Finding the Third Proportional to 98,084 and 207,938

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Solution

The third proportional to 98,084 and 207,938 is: 440,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,084 : 207,938 = 207,938 : x
  2. Step 2: Convert to fraction form
    98,084/207,938 = 207,938/x
  3. Step 3: Cross multiply
    98,084x = 207,938 × 207,938
  4. Step 4: Simplify right side
    98,084x = 43,238,211,844
  5. Step 5: Solve for x
    x = 43,238,211,844/98,084
  6. Step 6: Final answer
    x = 440,828.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.