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Finding the Third Proportional to 98,865 and 204,743

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Solution

The third proportional to 98,865 and 204,743 is: 424,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,865 : 204,743 = 204,743 : x
  2. Step 2: Convert to fraction form
    98,865/204,743 = 204,743/x
  3. Step 3: Cross multiply
    98,865x = 204,743 × 204,743
  4. Step 4: Simplify right side
    98,865x = 41,919,696,049
  5. Step 5: Solve for x
    x = 41,919,696,049/98,865
  6. Step 6: Final answer
    x = 424,009.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.