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Finding the Third Proportional to 101,973.38 and 218,703.94

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Solution

The third proportional to 101,973.38 and 218,703.94 is: 469,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,973.38 : 218,703.94 = 218,703.94 : x
  2. Step 2: Convert to fraction form
    101,973.38/218,703.94 = 218,703.94/x
  3. Step 3: Cross multiply
    101,973.38x = 218,703.94 × 218,703.94
  4. Step 4: Simplify right side
    101,973.38x = 47,831,412,278.00
  5. Step 5: Solve for x
    x = 47,831,412,278.00/101,973.38
  6. Step 6: Final answer
    x = 469,057.85

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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.