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Finding the Third Proportional to 92,973 and 191,447

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Solution

The third proportional to 92,973 and 191,447 is: 394,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,973 : 191,447 = 191,447 : x
  2. Step 2: Convert to fraction form
    92,973/191,447 = 191,447/x
  3. Step 3: Cross multiply
    92,973x = 191,447 × 191,447
  4. Step 4: Simplify right side
    92,973x = 36,651,953,809
  5. Step 5: Solve for x
    x = 36,651,953,809/92,973
  6. Step 6: Final answer
    x = 394,221.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.