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Finding the Third Proportional to 94,135.50 and 206,929.69

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Solution

The third proportional to 94,135.50 and 206,929.69 is: 454,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,135.50 : 206,929.69 = 206,929.69 : x
  2. Step 2: Convert to fraction form
    94,135.50/206,929.69 = 206,929.69/x
  3. Step 3: Cross multiply
    94,135.50x = 206,929.69 × 206,929.69
  4. Step 4: Simplify right side
    94,135.50x = 42,819,895,568.85
  5. Step 5: Solve for x
    x = 42,819,895,568.85/94,135.50
  6. Step 6: Final answer
    x = 454,875.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.