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Finding the Third Proportional to 95,826 and 204,787.50

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Solution

The third proportional to 95,826 and 204,787.50 is: 437,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,826 : 204,787.50 = 204,787.50 : x
  2. Step 2: Convert to fraction form
    95,826/204,787.50 = 204,787.50/x
  3. Step 3: Cross multiply
    95,826x = 204,787.50 × 204,787.50
  4. Step 4: Simplify right side
    95,826x = 41,937,920,156.25
  5. Step 5: Solve for x
    x = 41,937,920,156.25/95,826
  6. Step 6: Final answer
    x = 437,646.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.