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Finding the Third Proportional to 105,602.25 and 219,941.25

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Solution

The third proportional to 105,602.25 and 219,941.25 is: 458,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602.25 : 219,941.25 = 219,941.25 : x
  2. Step 2: Convert to fraction form
    105,602.25/219,941.25 = 219,941.25/x
  3. Step 3: Cross multiply
    105,602.25x = 219,941.25 × 219,941.25
  4. Step 4: Simplify right side
    105,602.25x = 48,374,153,451.56
  5. Step 5: Solve for x
    x = 48,374,153,451.56/105,602.25
  6. Step 6: Final answer
    x = 458,078.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.