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Finding the Third Proportional to 92,361 and 199,135.50

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Solution

The third proportional to 92,361 and 199,135.50 is: 429,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,361 : 199,135.50 = 199,135.50 : x
  2. Step 2: Convert to fraction form
    92,361/199,135.50 = 199,135.50/x
  3. Step 3: Cross multiply
    92,361x = 199,135.50 × 199,135.50
  4. Step 4: Simplify right side
    92,361x = 39,654,947,360.25
  5. Step 5: Solve for x
    x = 39,654,947,360.25/92,361
  6. Step 6: Final answer
    x = 429,347.31

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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.