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Finding the Third Proportional to 92,569.50 and 199,203

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Solution

The third proportional to 92,569.50 and 199,203 is: 428,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,569.50 : 199,203 = 199,203 : x
  2. Step 2: Convert to fraction form
    92,569.50/199,203 = 199,203/x
  3. Step 3: Cross multiply
    92,569.50x = 199,203 × 199,203
  4. Step 4: Simplify right side
    92,569.50x = 39,681,835,209
  5. Step 5: Solve for x
    x = 39,681,835,209/92,569.50
  6. Step 6: Final answer
    x = 428,670.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.