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Finding the Third Proportional to 106,001.16 and 226,713.30

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Solution

The third proportional to 106,001.16 and 226,713.30 is: 484,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,001.16 : 226,713.30 = 226,713.30 : x
  2. Step 2: Convert to fraction form
    106,001.16/226,713.30 = 226,713.30/x
  3. Step 3: Cross multiply
    106,001.16x = 226,713.30 × 226,713.30
  4. Step 4: Simplify right side
    106,001.16x = 51,398,922,522.33
  5. Step 5: Solve for x
    x = 51,398,922,522.33/106,001.16
  6. Step 6: Final answer
    x = 484,890.21

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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.