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Finding the Third Proportional to 99,938 and 214,699

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Solution

The third proportional to 99,938 and 214,699 is: 461,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,938 : 214,699 = 214,699 : x
  2. Step 2: Convert to fraction form
    99,938/214,699 = 214,699/x
  3. Step 3: Cross multiply
    99,938x = 214,699 × 214,699
  4. Step 4: Simplify right side
    99,938x = 46,095,660,601
  5. Step 5: Solve for x
    x = 46,095,660,601/99,938
  6. Step 6: Final answer
    x = 461,242.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.