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Finding the Third Proportional to 39,843 and 93,919.50

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Solution

The third proportional to 39,843 and 93,919.50 is: 221,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843 : 93,919.50 = 93,919.50 : x
  2. Step 2: Convert to fraction form
    39,843/93,919.50 = 93,919.50/x
  3. Step 3: Cross multiply
    39,843x = 93,919.50 × 93,919.50
  4. Step 4: Simplify right side
    39,843x = 8,820,872,480.25
  5. Step 5: Solve for x
    x = 8,820,872,480.25/39,843
  6. Step 6: Final answer
    x = 221,390.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.