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Finding the Third Proportional to 91,806 and 194,547

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Solution

The third proportional to 91,806 and 194,547 is: 412,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,806 : 194,547 = 194,547 : x
  2. Step 2: Convert to fraction form
    91,806/194,547 = 194,547/x
  3. Step 3: Cross multiply
    91,806x = 194,547 × 194,547
  4. Step 4: Simplify right side
    91,806x = 37,848,535,209
  5. Step 5: Solve for x
    x = 37,848,535,209/91,806
  6. Step 6: Final answer
    x = 412,266.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.