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Finding the Third Proportional to 43,216.50 and 93,813

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Solution

The third proportional to 43,216.50 and 93,813 is: 203,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,216.50 : 93,813 = 93,813 : x
  2. Step 2: Convert to fraction form
    43,216.50/93,813 = 93,813/x
  3. Step 3: Cross multiply
    43,216.50x = 93,813 × 93,813
  4. Step 4: Simplify right side
    43,216.50x = 8,800,878,969
  5. Step 5: Solve for x
    x = 8,800,878,969/43,216.50
  6. Step 6: Final answer
    x = 203,646.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.