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Finding the Third Proportional to 106,670.25 and 230,151.38

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Solution

The third proportional to 106,670.25 and 230,151.38 is: 496,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,670.25 : 230,151.38 = 230,151.38 : x
  2. Step 2: Convert to fraction form
    106,670.25/230,151.38 = 230,151.38/x
  3. Step 3: Cross multiply
    106,670.25x = 230,151.38 × 230,151.38
  4. Step 4: Simplify right side
    106,670.25x = 52,969,655,414.39
  5. Step 5: Solve for x
    x = 52,969,655,414.39/106,670.25
  6. Step 6: Final answer
    x = 496,573.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.