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Finding the Third Proportional to 94,152 and 206,960

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Solution

The third proportional to 94,152 and 206,960 is: 454,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,152 : 206,960 = 206,960 : x
  2. Step 2: Convert to fraction form
    94,152/206,960 = 206,960/x
  3. Step 3: Cross multiply
    94,152x = 206,960 × 206,960
  4. Step 4: Simplify right side
    94,152x = 42,832,441,600
  5. Step 5: Solve for x
    x = 42,832,441,600/94,152
  6. Step 6: Final answer
    x = 454,928.64

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