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Finding the Third Proportional to 97,797.94 and 206,278.88

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Solution

The third proportional to 97,797.94 and 206,278.88 is: 435,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,797.94 : 206,278.88 = 206,278.88 : x
  2. Step 2: Convert to fraction form
    97,797.94/206,278.88 = 206,278.88/x
  3. Step 3: Cross multiply
    97,797.94x = 206,278.88 × 206,278.88
  4. Step 4: Simplify right side
    97,797.94x = 42,550,974,271.27
  5. Step 5: Solve for x
    x = 42,550,974,271.27/97,797.94
  6. Step 6: Final answer
    x = 435,090.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.