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Finding the Third Proportional to 103,721 and 223,207

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Solution

The third proportional to 103,721 and 223,207 is: 480,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,721 : 223,207 = 223,207 : x
  2. Step 2: Convert to fraction form
    103,721/223,207 = 223,207/x
  3. Step 3: Cross multiply
    103,721x = 223,207 × 223,207
  4. Step 4: Simplify right side
    103,721x = 49,821,364,849
  5. Step 5: Solve for x
    x = 49,821,364,849/103,721
  6. Step 6: Final answer
    x = 480,340.19

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