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Finding the Third Proportional to 91,509 and 198,462

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Solution

The third proportional to 91,509 and 198,462 is: 430,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,509 : 198,462 = 198,462 : x
  2. Step 2: Convert to fraction form
    91,509/198,462 = 198,462/x
  3. Step 3: Cross multiply
    91,509x = 198,462 × 198,462
  4. Step 4: Simplify right side
    91,509x = 39,387,165,444
  5. Step 5: Solve for x
    x = 39,387,165,444/91,509
  6. Step 6: Final answer
    x = 430,418.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.