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Finding the Third Proportional to 92,218.50 and 203,850

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Solution

The third proportional to 92,218.50 and 203,850 is: 450,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,218.50 : 203,850 = 203,850 : x
  2. Step 2: Convert to fraction form
    92,218.50/203,850 = 203,850/x
  3. Step 3: Cross multiply
    92,218.50x = 203,850 × 203,850
  4. Step 4: Simplify right side
    92,218.50x = 41,554,822,500
  5. Step 5: Solve for x
    x = 41,554,822,500/92,218.50
  6. Step 6: Final answer
    x = 450,612.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.