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Finding the Third Proportional to 103,536 and 223,998

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Solution

The third proportional to 103,536 and 223,998 is: 484,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,536 : 223,998 = 223,998 : x
  2. Step 2: Convert to fraction form
    103,536/223,998 = 223,998/x
  3. Step 3: Cross multiply
    103,536x = 223,998 × 223,998
  4. Step 4: Simplify right side
    103,536x = 50,175,104,004
  5. Step 5: Solve for x
    x = 50,175,104,004/103,536
  6. Step 6: Final answer
    x = 484,615.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.