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Finding the Third Proportional to 102,961.50 and 210,940.50

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Solution

The third proportional to 102,961.50 and 210,940.50 is: 432,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,961.50 : 210,940.50 = 210,940.50 : x
  2. Step 2: Convert to fraction form
    102,961.50/210,940.50 = 210,940.50/x
  3. Step 3: Cross multiply
    102,961.50x = 210,940.50 × 210,940.50
  4. Step 4: Simplify right side
    102,961.50x = 44,495,894,540.25
  5. Step 5: Solve for x
    x = 44,495,894,540.25/102,961.50
  6. Step 6: Final answer
    x = 432,160.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.