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Finding the Third Proportional to 99,543.94 and 214,923.38

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Solution

The third proportional to 99,543.94 and 214,923.38 is: 464,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,543.94 : 214,923.38 = 214,923.38 : x
  2. Step 2: Convert to fraction form
    99,543.94/214,923.38 = 214,923.38/x
  3. Step 3: Cross multiply
    99,543.94x = 214,923.38 × 214,923.38
  4. Step 4: Simplify right side
    99,543.94x = 46,192,057,121.39
  5. Step 5: Solve for x
    x = 46,192,057,121.39/99,543.94
  6. Step 6: Final answer
    x = 464,036.87

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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.