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Finding the Third Proportional to 96,780 and 202,431

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Solution

The third proportional to 96,780 and 202,431 is: 423,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,780 : 202,431 = 202,431 : x
  2. Step 2: Convert to fraction form
    96,780/202,431 = 202,431/x
  3. Step 3: Cross multiply
    96,780x = 202,431 × 202,431
  4. Step 4: Simplify right side
    96,780x = 40,978,309,761
  5. Step 5: Solve for x
    x = 40,978,309,761/96,780
  6. Step 6: Final answer
    x = 423,417.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.