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Finding the Third Proportional to 98,963 and 207,647

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Solution

The third proportional to 98,963 and 207,647 is: 435,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,963 : 207,647 = 207,647 : x
  2. Step 2: Convert to fraction form
    98,963/207,647 = 207,647/x
  3. Step 3: Cross multiply
    98,963x = 207,647 × 207,647
  4. Step 4: Simplify right side
    98,963x = 43,117,276,609
  5. Step 5: Solve for x
    x = 43,117,276,609/98,963
  6. Step 6: Final answer
    x = 435,690.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.