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Finding the Third Proportional to 95,851 and 201,617.50

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Solution

The third proportional to 95,851 and 201,617.50 is: 424,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,851 : 201,617.50 = 201,617.50 : x
  2. Step 2: Convert to fraction form
    95,851/201,617.50 = 201,617.50/x
  3. Step 3: Cross multiply
    95,851x = 201,617.50 × 201,617.50
  4. Step 4: Simplify right side
    95,851x = 40,649,616,306.25
  5. Step 5: Solve for x
    x = 40,649,616,306.25/95,851
  6. Step 6: Final answer
    x = 424,091.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.