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Finding the Third Proportional to 91,032 and 189,332

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Solution

The third proportional to 91,032 and 189,332 is: 393,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,032 : 189,332 = 189,332 : x
  2. Step 2: Convert to fraction form
    91,032/189,332 = 189,332/x
  3. Step 3: Cross multiply
    91,032x = 189,332 × 189,332
  4. Step 4: Simplify right side
    91,032x = 35,846,606,224
  5. Step 5: Solve for x
    x = 35,846,606,224/91,032
  6. Step 6: Final answer
    x = 393,780.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.