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Finding the Third Proportional to 50,990.77 and 109,366.45

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Solution

The third proportional to 50,990.77 and 109,366.45 is: 234,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,990.77 : 109,366.45 = 109,366.45 : x
  2. Step 2: Convert to fraction form
    50,990.77/109,366.45 = 109,366.45/x
  3. Step 3: Cross multiply
    50,990.77x = 109,366.45 × 109,366.45
  4. Step 4: Simplify right side
    50,990.77x = 11,961,021,069.14
  5. Step 5: Solve for x
    x = 11,961,021,069.14/50,990.77
  6. Step 6: Final answer
    x = 234,572.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.