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Finding the Third Proportional to 97,089.50 and 200,918

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Solution

The third proportional to 97,089.50 and 200,918 is: 415,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,089.50 : 200,918 = 200,918 : x
  2. Step 2: Convert to fraction form
    97,089.50/200,918 = 200,918/x
  3. Step 3: Cross multiply
    97,089.50x = 200,918 × 200,918
  4. Step 4: Simplify right side
    97,089.50x = 40,368,042,724
  5. Step 5: Solve for x
    x = 40,368,042,724/97,089.50
  6. Step 6: Final answer
    x = 415,781.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.