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Finding the Third Proportional to 86,451 and 201,923

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Solution

The third proportional to 86,451 and 201,923 is: 471,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,451 : 201,923 = 201,923 : x
  2. Step 2: Convert to fraction form
    86,451/201,923 = 201,923/x
  3. Step 3: Cross multiply
    86,451x = 201,923 × 201,923
  4. Step 4: Simplify right side
    86,451x = 40,772,897,929
  5. Step 5: Solve for x
    x = 40,772,897,929/86,451
  6. Step 6: Final answer
    x = 471,630.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.