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Finding the Third Proportional to 190,071 and 415,093.50

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Solution

The third proportional to 190,071 and 415,093.50 is: 906,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,071 : 415,093.50 = 415,093.50 : x
  2. Step 2: Convert to fraction form
    190,071/415,093.50 = 415,093.50/x
  3. Step 3: Cross multiply
    190,071x = 415,093.50 × 415,093.50
  4. Step 4: Simplify right side
    190,071x = 172,302,613,742.25
  5. Step 5: Solve for x
    x = 172,302,613,742.25/190,071
  6. Step 6: Final answer
    x = 906,517.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.