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Finding the Third Proportional to 100,602 and 219,634.03

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Solution

The third proportional to 100,602 and 219,634.03 is: 479,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602 : 219,634.03 = 219,634.03 : x
  2. Step 2: Convert to fraction form
    100,602/219,634.03 = 219,634.03/x
  3. Step 3: Cross multiply
    100,602x = 219,634.03 × 219,634.03
  4. Step 4: Simplify right side
    100,602x = 48,239,107,683.13
  5. Step 5: Solve for x
    x = 48,239,107,683.13/100,602
  6. Step 6: Final answer
    x = 479,504.46

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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.