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Finding the Third Proportional to 95,109.19 and 200,826.84

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Solution

The third proportional to 95,109.19 and 200,826.84 is: 424,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,109.19 : 200,826.84 = 200,826.84 : x
  2. Step 2: Convert to fraction form
    95,109.19/200,826.84 = 200,826.84/x
  3. Step 3: Cross multiply
    95,109.19x = 200,826.84 × 200,826.84
  4. Step 4: Simplify right side
    95,109.19x = 40,331,421,170.59
  5. Step 5: Solve for x
    x = 40,331,421,170.59/95,109.19
  6. Step 6: Final answer
    x = 424,053.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.