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Finding the Third Proportional to 97,795.69 and 206,274.09

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Solution

The third proportional to 97,795.69 and 206,274.09 is: 435,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,795.69 : 206,274.09 = 206,274.09 : x
  2. Step 2: Convert to fraction form
    97,795.69/206,274.09 = 206,274.09/x
  3. Step 3: Cross multiply
    97,795.69x = 206,274.09 × 206,274.09
  4. Step 4: Simplify right side
    97,795.69x = 42,549,001,752.38
  5. Step 5: Solve for x
    x = 42,549,001,752.38/97,795.69
  6. Step 6: Final answer
    x = 435,080.55

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