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Finding the Third Proportional to 98,960.25 and 207,639.75

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Solution

The third proportional to 98,960.25 and 207,639.75 is: 435,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,960.25 : 207,639.75 = 207,639.75 : x
  2. Step 2: Convert to fraction form
    98,960.25/207,639.75 = 207,639.75/x
  3. Step 3: Cross multiply
    98,960.25x = 207,639.75 × 207,639.75
  4. Step 4: Simplify right side
    98,960.25x = 43,114,265,780.06
  5. Step 5: Solve for x
    x = 43,114,265,780.06/98,960.25
  6. Step 6: Final answer
    x = 435,672.56

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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.