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Finding the Third Proportional to 94,878.84 and 203,826.38

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Solution

The third proportional to 94,878.84 and 203,826.38 is: 437,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,878.84 : 203,826.38 = 203,826.38 : x
  2. Step 2: Convert to fraction form
    94,878.84/203,826.38 = 203,826.38/x
  3. Step 3: Cross multiply
    94,878.84x = 203,826.38 × 203,826.38
  4. Step 4: Simplify right side
    94,878.84x = 41,545,191,145.64
  5. Step 5: Solve for x
    x = 41,545,191,145.64/94,878.84
  6. Step 6: Final answer
    x = 437,876.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.