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Finding the Third Proportional to 92,178 and 197,412

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Solution

The third proportional to 92,178 and 197,412 is: 422,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,178 : 197,412 = 197,412 : x
  2. Step 2: Convert to fraction form
    92,178/197,412 = 197,412/x
  3. Step 3: Cross multiply
    92,178x = 197,412 × 197,412
  4. Step 4: Simplify right side
    92,178x = 38,971,497,744
  5. Step 5: Solve for x
    x = 38,971,497,744/92,178
  6. Step 6: Final answer
    x = 422,785.24

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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.