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Finding the Third Proportional to 97,109 and 207,712

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Solution

The third proportional to 97,109 and 207,712 is: 444,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,109 : 207,712 = 207,712 : x
  2. Step 2: Convert to fraction form
    97,109/207,712 = 207,712/x
  3. Step 3: Cross multiply
    97,109x = 207,712 × 207,712
  4. Step 4: Simplify right side
    97,109x = 43,144,274,944
  5. Step 5: Solve for x
    x = 43,144,274,944/97,109
  6. Step 6: Final answer
    x = 444,287.09

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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.