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Finding the Third Proportional to 94,930.13 and 208,808.25

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Solution

The third proportional to 94,930.13 and 208,808.25 is: 459,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,930.13 : 208,808.25 = 208,808.25 : x
  2. Step 2: Convert to fraction form
    94,930.13/208,808.25 = 208,808.25/x
  3. Step 3: Cross multiply
    94,930.13x = 208,808.25 × 208,808.25
  4. Step 4: Simplify right side
    94,930.13x = 43,600,885,268.06
  5. Step 5: Solve for x
    x = 43,600,885,268.06/94,930.13
  6. Step 6: Final answer
    x = 459,294.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.