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Finding the Third Proportional to 84,541 and 199,931

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Solution

The third proportional to 84,541 and 199,931 is: 472,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,541 : 199,931 = 199,931 : x
  2. Step 2: Convert to fraction form
    84,541/199,931 = 199,931/x
  3. Step 3: Cross multiply
    84,541x = 199,931 × 199,931
  4. Step 4: Simplify right side
    84,541x = 39,972,404,761
  5. Step 5: Solve for x
    x = 39,972,404,761/84,541
  6. Step 6: Final answer
    x = 472,816.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.