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Finding the Third Proportional to 94,304.25 and 202,105.13

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Solution

The third proportional to 94,304.25 and 202,105.13 is: 433,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,304.25 : 202,105.13 = 202,105.13 : x
  2. Step 2: Convert to fraction form
    94,304.25/202,105.13 = 202,105.13/x
  3. Step 3: Cross multiply
    94,304.25x = 202,105.13 × 202,105.13
  4. Step 4: Simplify right side
    94,304.25x = 40,846,481,551.27
  5. Step 5: Solve for x
    x = 40,846,481,551.27/94,304.25
  6. Step 6: Final answer
    x = 433,135.11

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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.