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Finding the Third Proportional to 101,570 and 220,089

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Solution

The third proportional to 101,570 and 220,089 is: 476,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,570 : 220,089 = 220,089 : x
  2. Step 2: Convert to fraction form
    101,570/220,089 = 220,089/x
  3. Step 3: Cross multiply
    101,570x = 220,089 × 220,089
  4. Step 4: Simplify right side
    101,570x = 48,439,167,921
  5. Step 5: Solve for x
    x = 48,439,167,921/101,570
  6. Step 6: Final answer
    x = 476,904.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.