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Finding the Third Proportional to 94,647 and 202,426.50

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Solution

The third proportional to 94,647 and 202,426.50 is: 432,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,647 : 202,426.50 = 202,426.50 : x
  2. Step 2: Convert to fraction form
    94,647/202,426.50 = 202,426.50/x
  3. Step 3: Cross multiply
    94,647x = 202,426.50 × 202,426.50
  4. Step 4: Simplify right side
    94,647x = 40,976,487,902.25
  5. Step 5: Solve for x
    x = 40,976,487,902.25/94,647
  6. Step 6: Final answer
    x = 432,940.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.