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Finding the Third Proportional to 94,846.50 and 206,426.25

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Solution

The third proportional to 94,846.50 and 206,426.25 is: 449,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,846.50 : 206,426.25 = 206,426.25 : x
  2. Step 2: Convert to fraction form
    94,846.50/206,426.25 = 206,426.25/x
  3. Step 3: Cross multiply
    94,846.50x = 206,426.25 × 206,426.25
  4. Step 4: Simplify right side
    94,846.50x = 42,611,796,689.06
  5. Step 5: Solve for x
    x = 42,611,796,689.06/94,846.50
  6. Step 6: Final answer
    x = 449,271.16

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