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Finding the Third Proportional to 91,562 and 196,929

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Solution

The third proportional to 91,562 and 196,929 is: 423,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,562 : 196,929 = 196,929 : x
  2. Step 2: Convert to fraction form
    91,562/196,929 = 196,929/x
  3. Step 3: Cross multiply
    91,562x = 196,929 × 196,929
  4. Step 4: Simplify right side
    91,562x = 38,781,031,041
  5. Step 5: Solve for x
    x = 38,781,031,041/91,562
  6. Step 6: Final answer
    x = 423,549.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.