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Finding the Third Proportional to 43,816.50 and 93,465

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Solution

The third proportional to 43,816.50 and 93,465 is: 199,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,816.50 : 93,465 = 93,465 : x
  2. Step 2: Convert to fraction form
    43,816.50/93,465 = 93,465/x
  3. Step 3: Cross multiply
    43,816.50x = 93,465 × 93,465
  4. Step 4: Simplify right side
    43,816.50x = 8,735,706,225
  5. Step 5: Solve for x
    x = 8,735,706,225/43,816.50
  6. Step 6: Final answer
    x = 199,370.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.