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Finding the Third Proportional to 103,824 and 218,583

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Solution

The third proportional to 103,824 and 218,583 is: 460,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,824 : 218,583 = 218,583 : x
  2. Step 2: Convert to fraction form
    103,824/218,583 = 218,583/x
  3. Step 3: Cross multiply
    103,824x = 218,583 × 218,583
  4. Step 4: Simplify right side
    103,824x = 47,778,527,889
  5. Step 5: Solve for x
    x = 47,778,527,889/103,824
  6. Step 6: Final answer
    x = 460,187.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.