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Finding the Third Proportional to 97,205 and 207,892

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Solution

The third proportional to 97,205 and 207,892 is: 444,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,205 : 207,892 = 207,892 : x
  2. Step 2: Convert to fraction form
    97,205/207,892 = 207,892/x
  3. Step 3: Cross multiply
    97,205x = 207,892 × 207,892
  4. Step 4: Simplify right side
    97,205x = 43,219,083,664
  5. Step 5: Solve for x
    x = 43,219,083,664/97,205
  6. Step 6: Final answer
    x = 444,617.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.