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Finding the Third Proportional to 92,283.05 and 198,970.17

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Solution

The third proportional to 92,283.05 and 198,970.17 is: 428,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,283.05 : 198,970.17 = 198,970.17 : x
  2. Step 2: Convert to fraction form
    92,283.05/198,970.17 = 198,970.17/x
  3. Step 3: Cross multiply
    92,283.05x = 198,970.17 × 198,970.17
  4. Step 4: Simplify right side
    92,283.05x = 39,589,129,295.97
  5. Step 5: Solve for x
    x = 39,589,129,295.97/92,283.05
  6. Step 6: Final answer
    x = 428,996.77

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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.