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Finding the Third Proportional to 84,415.50 and 199,267.59

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Solution

The third proportional to 84,415.50 and 199,267.59 is: 470,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,415.50 : 199,267.59 = 199,267.59 : x
  2. Step 2: Convert to fraction form
    84,415.50/199,267.59 = 199,267.59/x
  3. Step 3: Cross multiply
    84,415.50x = 199,267.59 × 199,267.59
  4. Step 4: Simplify right side
    84,415.50x = 39,707,573,918.92
  5. Step 5: Solve for x
    x = 39,707,573,918.92/84,415.50
  6. Step 6: Final answer
    x = 470,382.50

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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.