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Finding the Third Proportional to 95,507 and 202,396

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Solution

The third proportional to 95,507 and 202,396 is: 428,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,507 : 202,396 = 202,396 : x
  2. Step 2: Convert to fraction form
    95,507/202,396 = 202,396/x
  3. Step 3: Cross multiply
    95,507x = 202,396 × 202,396
  4. Step 4: Simplify right side
    95,507x = 40,964,140,816
  5. Step 5: Solve for x
    x = 40,964,140,816/95,507
  6. Step 6: Final answer
    x = 428,912.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.