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Finding the Third Proportional to 97,620 and 199,848

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Solution

The third proportional to 97,620 and 199,848 is: 409,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,620 : 199,848 = 199,848 : x
  2. Step 2: Convert to fraction form
    97,620/199,848 = 199,848/x
  3. Step 3: Cross multiply
    97,620x = 199,848 × 199,848
  4. Step 4: Simplify right side
    97,620x = 39,939,223,104
  5. Step 5: Solve for x
    x = 39,939,223,104/97,620
  6. Step 6: Final answer
    x = 409,129.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.