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Finding the Third Proportional to 94,468.15 and 204,154.17

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Solution

The third proportional to 94,468.15 and 204,154.17 is: 441,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,468.15 : 204,154.17 = 204,154.17 : x
  2. Step 2: Convert to fraction form
    94,468.15/204,154.17 = 204,154.17/x
  3. Step 3: Cross multiply
    94,468.15x = 204,154.17 × 204,154.17
  4. Step 4: Simplify right side
    94,468.15x = 41,678,925,893.97
  5. Step 5: Solve for x
    x = 41,678,925,893.97/94,468.15
  6. Step 6: Final answer
    x = 441,195.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.