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Finding the Third Proportional to 94,974.32 and 206,815.66

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Solution

The third proportional to 94,974.32 and 206,815.66 is: 450,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,974.32 : 206,815.66 = 206,815.66 : x
  2. Step 2: Convert to fraction form
    94,974.32/206,815.66 = 206,815.66/x
  3. Step 3: Cross multiply
    94,974.32x = 206,815.66 × 206,815.66
  4. Step 4: Simplify right side
    94,974.32x = 42,772,718,295.71
  5. Step 5: Solve for x
    x = 42,772,718,295.71/94,974.32
  6. Step 6: Final answer
    x = 450,360.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.