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Finding the Third Proportional to 91,629 and 194,841

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Solution

The third proportional to 91,629 and 194,841 is: 414,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,629 : 194,841 = 194,841 : x
  2. Step 2: Convert to fraction form
    91,629/194,841 = 194,841/x
  3. Step 3: Cross multiply
    91,629x = 194,841 × 194,841
  4. Step 4: Simplify right side
    91,629x = 37,963,015,281
  5. Step 5: Solve for x
    x = 37,963,015,281/91,629
  6. Step 6: Final answer
    x = 414,312.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.