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Finding the Third Proportional to 43,024.13 and 93,197.25

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Solution

The third proportional to 43,024.13 and 93,197.25 is: 201,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,024.13 : 93,197.25 = 93,197.25 : x
  2. Step 2: Convert to fraction form
    43,024.13/93,197.25 = 93,197.25/x
  3. Step 3: Cross multiply
    43,024.13x = 93,197.25 × 93,197.25
  4. Step 4: Simplify right side
    43,024.13x = 8,685,727,407.56
  5. Step 5: Solve for x
    x = 8,685,727,407.56/43,024.13
  6. Step 6: Final answer
    x = 201,880.40

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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.