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Finding the Third Proportional to 85,569.75 and 199,929.38

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Solution

The third proportional to 85,569.75 and 199,929.38 is: 467,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,569.75 : 199,929.38 = 199,929.38 : x
  2. Step 2: Convert to fraction form
    85,569.75/199,929.38 = 199,929.38/x
  3. Step 3: Cross multiply
    85,569.75x = 199,929.38 × 199,929.38
  4. Step 4: Simplify right side
    85,569.75x = 39,971,754,987.89
  5. Step 5: Solve for x
    x = 39,971,754,987.89/85,569.75
  6. Step 6: Final answer
    x = 467,124.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.