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Finding the Third Proportional to 88,665 and 197,010

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Solution

The third proportional to 88,665 and 197,010 is: 437,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,665 : 197,010 = 197,010 : x
  2. Step 2: Convert to fraction form
    88,665/197,010 = 197,010/x
  3. Step 3: Cross multiply
    88,665x = 197,010 × 197,010
  4. Step 4: Simplify right side
    88,665x = 38,812,940,100
  5. Step 5: Solve for x
    x = 38,812,940,100/88,665
  6. Step 6: Final answer
    x = 437,748.15

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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.