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Finding the Third Proportional to 101,972.25 and 218,705.63

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Solution

The third proportional to 101,972.25 and 218,705.63 is: 469,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972.25 : 218,705.63 = 218,705.63 : x
  2. Step 2: Convert to fraction form
    101,972.25/218,705.63 = 218,705.63/x
  3. Step 3: Cross multiply
    101,972.25x = 218,705.63 × 218,705.63
  4. Step 4: Simplify right side
    101,972.25x = 47,832,150,406.64
  5. Step 5: Solve for x
    x = 47,832,150,406.64/101,972.25
  6. Step 6: Final answer
    x = 469,070.27

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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.