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Finding the Third Proportional to 101,980.62 and 217,973.85

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Solution

The third proportional to 101,980.62 and 217,973.85 is: 465,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.62 : 217,973.85 = 217,973.85 : x
  2. Step 2: Convert to fraction form
    101,980.62/217,973.85 = 217,973.85/x
  3. Step 3: Cross multiply
    101,980.62x = 217,973.85 × 217,973.85
  4. Step 4: Simplify right side
    101,980.62x = 47,512,598,262.07
  5. Step 5: Solve for x
    x = 47,512,598,262.07/101,980.62
  6. Step 6: Final answer
    x = 465,898.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.