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Finding the Third Proportional to 95,116 and 202,448

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Solution

The third proportional to 95,116 and 202,448 is: 430,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,116 : 202,448 = 202,448 : x
  2. Step 2: Convert to fraction form
    95,116/202,448 = 202,448/x
  3. Step 3: Cross multiply
    95,116x = 202,448 × 202,448
  4. Step 4: Simplify right side
    95,116x = 40,985,192,704
  5. Step 5: Solve for x
    x = 40,985,192,704/95,116
  6. Step 6: Final answer
    x = 430,896.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.