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Finding the Third Proportional to 191,986.88 and 418,911.75

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Solution

The third proportional to 191,986.88 and 418,911.75 is: 914,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,986.88 : 418,911.75 = 418,911.75 : x
  2. Step 2: Convert to fraction form
    191,986.88/418,911.75 = 418,911.75/x
  3. Step 3: Cross multiply
    191,986.88x = 418,911.75 × 418,911.75
  4. Step 4: Simplify right side
    191,986.88x = 175,487,054,288.06
  5. Step 5: Solve for x
    x = 175,487,054,288.06/191,986.88
  6. Step 6: Final answer
    x = 914,057.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.