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Finding the Third Proportional to 88,197.75 and 133,106.63

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Solution

The third proportional to 88,197.75 and 133,106.63 is: 200,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,197.75 : 133,106.63 = 133,106.63 : x
  2. Step 2: Convert to fraction form
    88,197.75/133,106.63 = 133,106.63/x
  3. Step 3: Cross multiply
    88,197.75x = 133,106.63 × 133,106.63
  4. Step 4: Simplify right side
    88,197.75x = 17,717,373,618.89
  5. Step 5: Solve for x
    x = 17,717,373,618.89/88,197.75
  6. Step 6: Final answer
    x = 200,882.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.