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Finding the Third Proportional to 136,513.69 and 199,575.56

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Solution

The third proportional to 136,513.69 and 199,575.56 is: 291,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,513.69 : 199,575.56 = 199,575.56 : x
  2. Step 2: Convert to fraction form
    136,513.69/199,575.56 = 199,575.56/x
  3. Step 3: Cross multiply
    136,513.69x = 199,575.56 × 199,575.56
  4. Step 4: Simplify right side
    136,513.69x = 39,830,405,147.19
  5. Step 5: Solve for x
    x = 39,830,405,147.19/136,513.69
  6. Step 6: Final answer
    x = 291,768.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.