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Finding the Third Proportional to 101,973.75 and 218,709.38

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Solution

The third proportional to 101,973.75 and 218,709.38 is: 469,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,973.75 : 218,709.38 = 218,709.38 : x
  2. Step 2: Convert to fraction form
    101,973.75/218,709.38 = 218,709.38/x
  3. Step 3: Cross multiply
    101,973.75x = 218,709.38 × 218,709.38
  4. Step 4: Simplify right side
    101,973.75x = 47,833,790,712.89
  5. Step 5: Solve for x
    x = 47,833,790,712.89/101,973.75
  6. Step 6: Final answer
    x = 469,079.45

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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.