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Finding the Third Proportional to 191,025.84 and 415,221.19

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Solution

The third proportional to 191,025.84 and 415,221.19 is: 902,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,025.84 : 415,221.19 = 415,221.19 : x
  2. Step 2: Convert to fraction form
    191,025.84/415,221.19 = 415,221.19/x
  3. Step 3: Cross multiply
    191,025.84x = 415,221.19 × 415,221.19
  4. Step 4: Simplify right side
    191,025.84x = 172,408,634,548.91
  5. Step 5: Solve for x
    x = 172,408,634,548.91/191,025.84
  6. Step 6: Final answer
    x = 902,540.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.