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Finding the Third Proportional to 103,719 and 223,203

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Solution

The third proportional to 103,719 and 223,203 is: 480,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,719 : 223,203 = 223,203 : x
  2. Step 2: Convert to fraction form
    103,719/223,203 = 223,203/x
  3. Step 3: Cross multiply
    103,719x = 223,203 × 223,203
  4. Step 4: Simplify right side
    103,719x = 49,819,579,209
  5. Step 5: Solve for x
    x = 49,819,579,209/103,719
  6. Step 6: Final answer
    x = 480,332.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.