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Finding the Third Proportional to 92,128.50 and 199,809

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Solution

The third proportional to 92,128.50 and 199,809 is: 433,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,128.50 : 199,809 = 199,809 : x
  2. Step 2: Convert to fraction form
    92,128.50/199,809 = 199,809/x
  3. Step 3: Cross multiply
    92,128.50x = 199,809 × 199,809
  4. Step 4: Simplify right side
    92,128.50x = 39,923,636,481
  5. Step 5: Solve for x
    x = 39,923,636,481/92,128.50
  6. Step 6: Final answer
    x = 433,347.30

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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.