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Finding the Third Proportional to 88,549.17 and 191,091.38

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Solution

The third proportional to 88,549.17 and 191,091.38 is: 412,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,549.17 : 191,091.38 = 191,091.38 : x
  2. Step 2: Convert to fraction form
    88,549.17/191,091.38 = 191,091.38/x
  3. Step 3: Cross multiply
    88,549.17x = 191,091.38 × 191,091.38
  4. Step 4: Simplify right side
    88,549.17x = 36,515,913,599.39
  5. Step 5: Solve for x
    x = 36,515,913,599.39/88,549.17
  6. Step 6: Final answer
    x = 412,380.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.