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Finding the Third Proportional to 89,904.94 and 193,827.94

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Solution

The third proportional to 89,904.94 and 193,827.94 is: 417,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,904.94 : 193,827.94 = 193,827.94 : x
  2. Step 2: Convert to fraction form
    89,904.94/193,827.94 = 193,827.94/x
  3. Step 3: Cross multiply
    89,904.94x = 193,827.94 × 193,827.94
  4. Step 4: Simplify right side
    89,904.94x = 37,569,269,355.50
  5. Step 5: Solve for x
    x = 37,569,269,355.50/89,904.94
  6. Step 6: Final answer
    x = 417,877.71

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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.