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Finding the Third Proportional to 43,534.13 and 94,996.13

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Solution

The third proportional to 43,534.13 and 94,996.13 is: 207,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,534.13 : 94,996.13 = 94,996.13 : x
  2. Step 2: Convert to fraction form
    43,534.13/94,996.13 = 94,996.13/x
  3. Step 3: Cross multiply
    43,534.13x = 94,996.13 × 94,996.13
  4. Step 4: Simplify right side
    43,534.13x = 9,024,263,765.02
  5. Step 5: Solve for x
    x = 9,024,263,765.02/43,534.13
  6. Step 6: Final answer
    x = 207,291.72

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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.