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Finding the Third Proportional to 98,880 and 204,769

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Solution

The third proportional to 98,880 and 204,769 is: 424,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,880 : 204,769 = 204,769 : x
  2. Step 2: Convert to fraction form
    98,880/204,769 = 204,769/x
  3. Step 3: Cross multiply
    98,880x = 204,769 × 204,769
  4. Step 4: Simplify right side
    98,880x = 41,930,343,361
  5. Step 5: Solve for x
    x = 41,930,343,361/98,880
  6. Step 6: Final answer
    x = 424,052.83

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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.