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Finding the Third Proportional to 105,246 and 223,634.25

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Solution

The third proportional to 105,246 and 223,634.25 is: 475,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,246 : 223,634.25 = 223,634.25 : x
  2. Step 2: Convert to fraction form
    105,246/223,634.25 = 223,634.25/x
  3. Step 3: Cross multiply
    105,246x = 223,634.25 × 223,634.25
  4. Step 4: Simplify right side
    105,246x = 50,012,277,773.06
  5. Step 5: Solve for x
    x = 50,012,277,773.06/105,246
  6. Step 6: Final answer
    x = 475,194.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.