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Finding the Third Proportional to 89,147 and 197,973

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Solution

The third proportional to 89,147 and 197,973 is: 439,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,147 : 197,973 = 197,973 : x
  2. Step 2: Convert to fraction form
    89,147/197,973 = 197,973/x
  3. Step 3: Cross multiply
    89,147x = 197,973 × 197,973
  4. Step 4: Simplify right side
    89,147x = 39,193,308,729
  5. Step 5: Solve for x
    x = 39,193,308,729/89,147
  6. Step 6: Final answer
    x = 439,648.10

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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.