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Finding the Third Proportional to 103,852.13 and 204,621.19

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Solution

The third proportional to 103,852.13 and 204,621.19 is: 403,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,852.13 : 204,621.19 = 204,621.19 : x
  2. Step 2: Convert to fraction form
    103,852.13/204,621.19 = 204,621.19/x
  3. Step 3: Cross multiply
    103,852.13x = 204,621.19 × 204,621.19
  4. Step 4: Simplify right side
    103,852.13x = 41,869,830,373.91
  5. Step 5: Solve for x
    x = 41,869,830,373.91/103,852.13
  6. Step 6: Final answer
    x = 403,167.78

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.