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Finding the Third Proportional to 191,605.50 and 415,811.81

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Solution

The third proportional to 191,605.50 and 415,811.81 is: 902,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,605.50 : 415,811.81 = 415,811.81 : x
  2. Step 2: Convert to fraction form
    191,605.50/415,811.81 = 415,811.81/x
  3. Step 3: Cross multiply
    191,605.50x = 415,811.81 × 415,811.81
  4. Step 4: Simplify right side
    191,605.50x = 172,899,463,414.54
  5. Step 5: Solve for x
    x = 172,899,463,414.54/191,605.50
  6. Step 6: Final answer
    x = 902,372.13

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Why These Related Problems?

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