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Finding the Third Proportional to 123,897 and 196,922

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Solution

The third proportional to 123,897 and 196,922 is: 312,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,897 : 196,922 = 196,922 : x
  2. Step 2: Convert to fraction form
    123,897/196,922 = 196,922/x
  3. Step 3: Cross multiply
    123,897x = 196,922 × 196,922
  4. Step 4: Simplify right side
    123,897x = 38,778,274,084
  5. Step 5: Solve for x
    x = 38,778,274,084/123,897
  6. Step 6: Final answer
    x = 312,988.00

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.