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Finding the Third Proportional to 193,742.72 and 410,536.69

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Solution

The third proportional to 193,742.72 and 410,536.69 is: 869,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,742.72 : 410,536.69 = 410,536.69 : x
  2. Step 2: Convert to fraction form
    193,742.72/410,536.69 = 410,536.69/x
  3. Step 3: Cross multiply
    193,742.72x = 410,536.69 × 410,536.69
  4. Step 4: Simplify right side
    193,742.72x = 168,540,371,783.47
  5. Step 5: Solve for x
    x = 168,540,371,783.47/193,742.72
  6. Step 6: Final answer
    x = 869,918.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.