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Finding the Third Proportional to 101,107.13 and 220,051.13

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Solution

The third proportional to 101,107.13 and 220,051.13 is: 478,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,107.13 : 220,051.13 = 220,051.13 : x
  2. Step 2: Convert to fraction form
    101,107.13/220,051.13 = 220,051.13/x
  3. Step 3: Cross multiply
    101,107.13x = 220,051.13 × 220,051.13
  4. Step 4: Simplify right side
    101,107.13x = 48,422,497,613.77
  5. Step 5: Solve for x
    x = 48,422,497,613.77/101,107.13
  6. Step 6: Final answer
    x = 478,922.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.