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Finding the Third Proportional to 103,609.13 and 204,792.05

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Solution

The third proportional to 103,609.13 and 204,792.05 is: 404,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,609.13 : 204,792.05 = 204,792.05 : x
  2. Step 2: Convert to fraction form
    103,609.13/204,792.05 = 204,792.05/x
  3. Step 3: Cross multiply
    103,609.13x = 204,792.05 × 204,792.05
  4. Step 4: Simplify right side
    103,609.13x = 41,939,782,463.25
  5. Step 5: Solve for x
    x = 41,939,782,463.25/103,609.13
  6. Step 6: Final answer
    x = 404,788.50

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.