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Finding the Third Proportional to 90,966 and 191,358

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Solution

The third proportional to 90,966 and 191,358 is: 402,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,966 : 191,358 = 191,358 : x
  2. Step 2: Convert to fraction form
    90,966/191,358 = 191,358/x
  3. Step 3: Cross multiply
    90,966x = 191,358 × 191,358
  4. Step 4: Simplify right side
    90,966x = 36,617,884,164
  5. Step 5: Solve for x
    x = 36,617,884,164/90,966
  6. Step 6: Final answer
    x = 402,544.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.