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Finding the Third Proportional to 94,134.66 and 206,927.16

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Solution

The third proportional to 94,134.66 and 206,927.16 is: 454,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,134.66 : 206,927.16 = 206,927.16 : x
  2. Step 2: Convert to fraction form
    94,134.66/206,927.16 = 206,927.16/x
  3. Step 3: Cross multiply
    94,134.66x = 206,927.16 × 206,927.16
  4. Step 4: Simplify right side
    94,134.66x = 42,818,847,993.71
  5. Step 5: Solve for x
    x = 42,818,847,993.71/94,134.66
  6. Step 6: Final answer
    x = 454,868.05

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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.