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Finding the Third Proportional to 89,141 and 197,966

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Solution

The third proportional to 89,141 and 197,966 is: 439,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,141 : 197,966 = 197,966 : x
  2. Step 2: Convert to fraction form
    89,141/197,966 = 197,966/x
  3. Step 3: Cross multiply
    89,141x = 197,966 × 197,966
  4. Step 4: Simplify right side
    89,141x = 39,190,537,156
  5. Step 5: Solve for x
    x = 39,190,537,156/89,141
  6. Step 6: Final answer
    x = 439,646.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.