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Finding the Third Proportional to 100,901.06 and 214,101.56

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Solution

The third proportional to 100,901.06 and 214,101.56 is: 454,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,901.06 : 214,101.56 = 214,101.56 : x
  2. Step 2: Convert to fraction form
    100,901.06/214,101.56 = 214,101.56/x
  3. Step 3: Cross multiply
    100,901.06x = 214,101.56 × 214,101.56
  4. Step 4: Simplify right side
    100,901.06x = 45,839,479,064.94
  5. Step 5: Solve for x
    x = 45,839,479,064.94/100,901.06
  6. Step 6: Final answer
    x = 454,301.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.