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Finding the Third Proportional to 103,656 and 213,854

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Solution

The third proportional to 103,656 and 213,854 is: 441,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,656 : 213,854 = 213,854 : x
  2. Step 2: Convert to fraction form
    103,656/213,854 = 213,854/x
  3. Step 3: Cross multiply
    103,656x = 213,854 × 213,854
  4. Step 4: Simplify right side
    103,656x = 45,733,533,316
  5. Step 5: Solve for x
    x = 45,733,533,316/103,656
  6. Step 6: Final answer
    x = 441,204.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.