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Finding the Third Proportional to 88,924.50 and 209,911.50

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Solution

The third proportional to 88,924.50 and 209,911.50 is: 495,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,924.50 : 209,911.50 = 209,911.50 : x
  2. Step 2: Convert to fraction form
    88,924.50/209,911.50 = 209,911.50/x
  3. Step 3: Cross multiply
    88,924.50x = 209,911.50 × 209,911.50
  4. Step 4: Simplify right side
    88,924.50x = 44,062,837,832.25
  5. Step 5: Solve for x
    x = 44,062,837,832.25/88,924.50
  6. Step 6: Final answer
    x = 495,508.41

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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.