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Finding the Third Proportional to 95,107.50 and 200,821.50

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Solution

The third proportional to 95,107.50 and 200,821.50 is: 424,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,107.50 : 200,821.50 = 200,821.50 : x
  2. Step 2: Convert to fraction form
    95,107.50/200,821.50 = 200,821.50/x
  3. Step 3: Cross multiply
    95,107.50x = 200,821.50 × 200,821.50
  4. Step 4: Simplify right side
    95,107.50x = 40,329,274,862.25
  5. Step 5: Solve for x
    x = 40,329,274,862.25/95,107.50
  6. Step 6: Final answer
    x = 424,038.85

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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.