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Finding the Third Proportional to 98,883 and 204,772

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Solution

The third proportional to 98,883 and 204,772 is: 424,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,883 : 204,772 = 204,772 : x
  2. Step 2: Convert to fraction form
    98,883/204,772 = 204,772/x
  3. Step 3: Cross multiply
    98,883x = 204,772 × 204,772
  4. Step 4: Simplify right side
    98,883x = 41,931,571,984
  5. Step 5: Solve for x
    x = 41,931,571,984/98,883
  6. Step 6: Final answer
    x = 424,052.38

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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.