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Finding the Third Proportional to 99,551.25 and 214,950.38

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Solution

The third proportional to 99,551.25 and 214,950.38 is: 464,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,551.25 : 214,950.38 = 214,950.38 : x
  2. Step 2: Convert to fraction form
    99,551.25/214,950.38 = 214,950.38/x
  3. Step 3: Cross multiply
    99,551.25x = 214,950.38 × 214,950.38
  4. Step 4: Simplify right side
    99,551.25x = 46,203,663,712.64
  5. Step 5: Solve for x
    x = 46,203,663,712.64/99,551.25
  6. Step 6: Final answer
    x = 464,119.37

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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.