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Finding the Third Proportional to 92,028 and 197,168

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Solution

The third proportional to 92,028 and 197,168 is: 422,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,028 : 197,168 = 197,168 : x
  2. Step 2: Convert to fraction form
    92,028/197,168 = 197,168/x
  3. Step 3: Cross multiply
    92,028x = 197,168 × 197,168
  4. Step 4: Simplify right side
    92,028x = 38,875,220,224
  5. Step 5: Solve for x
    x = 38,875,220,224/92,028
  6. Step 6: Final answer
    x = 422,428.18

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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.