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Finding the Third Proportional to 165,460,837.50 and 363,744,171

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Solution

The third proportional to 165,460,837.50 and 363,744,171 is: 799,644,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,460,837.50 : 363,744,171 = 363,744,171 : x
  2. Step 2: Convert to fraction form
    165,460,837.50/363,744,171 = 363,744,171/x
  3. Step 3: Cross multiply
    165,460,837.50x = 363,744,171 × 363,744,171
  4. Step 4: Simplify right side
    165,460,837.50x = 132,309,821,936,477,248
  5. Step 5: Solve for x
    x = 132,309,821,936,477,248/165,460,837.50
  6. Step 6: Final answer
    x = 799,644,338.42

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Why These Related Problems?

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