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Finding the Third Proportional to 94,892.06 and 206,392.50

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Solution

The third proportional to 94,892.06 and 206,392.50 is: 448,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,892.06 : 206,392.50 = 206,392.50 : x
  2. Step 2: Convert to fraction form
    94,892.06/206,392.50 = 206,392.50/x
  3. Step 3: Cross multiply
    94,892.06x = 206,392.50 × 206,392.50
  4. Step 4: Simplify right side
    94,892.06x = 42,597,864,056.25
  5. Step 5: Solve for x
    x = 42,597,864,056.25/94,892.06
  6. Step 6: Final answer
    x = 448,908.61

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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.