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Finding the Third Proportional to 105,602 and 218,689

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Solution

The third proportional to 105,602 and 218,689 is: 452,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602 : 218,689 = 218,689 : x
  2. Step 2: Convert to fraction form
    105,602/218,689 = 218,689/x
  3. Step 3: Cross multiply
    105,602x = 218,689 × 218,689
  4. Step 4: Simplify right side
    105,602x = 47,824,878,721
  5. Step 5: Solve for x
    x = 47,824,878,721/105,602
  6. Step 6: Final answer
    x = 452,878.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.