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Finding the Third Proportional to 88,908.38 and 209,865.94

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Solution

The third proportional to 88,908.38 and 209,865.94 is: 495,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,908.38 : 209,865.94 = 209,865.94 : x
  2. Step 2: Convert to fraction form
    88,908.38/209,865.94 = 209,865.94/x
  3. Step 3: Cross multiply
    88,908.38x = 209,865.94 × 209,865.94
  4. Step 4: Simplify right side
    88,908.38x = 44,043,711,722.75
  5. Step 5: Solve for x
    x = 44,043,711,722.75/88,908.38
  6. Step 6: Final answer
    x = 495,383.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.