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Finding the Third Proportional to 96,813.50 and 210,851

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Solution

The third proportional to 96,813.50 and 210,851 is: 459,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,813.50 : 210,851 = 210,851 : x
  2. Step 2: Convert to fraction form
    96,813.50/210,851 = 210,851/x
  3. Step 3: Cross multiply
    96,813.50x = 210,851 × 210,851
  4. Step 4: Simplify right side
    96,813.50x = 44,458,144,201
  5. Step 5: Solve for x
    x = 44,458,144,201/96,813.50
  6. Step 6: Final answer
    x = 459,214.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.