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Finding the Third Proportional to 103,119.75 and 223,614

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Solution

The third proportional to 103,119.75 and 223,614 is: 484,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,119.75 : 223,614 = 223,614 : x
  2. Step 2: Convert to fraction form
    103,119.75/223,614 = 223,614/x
  3. Step 3: Cross multiply
    103,119.75x = 223,614 × 223,614
  4. Step 4: Simplify right side
    103,119.75x = 50,003,220,996
  5. Step 5: Solve for x
    x = 50,003,220,996/103,119.75
  6. Step 6: Final answer
    x = 484,904.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.