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Finding the Third Proportional to 43,241.91 and 94,997.16

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Solution

The third proportional to 43,241.91 and 94,997.16 is: 208,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,241.91 : 94,997.16 = 94,997.16 : x
  2. Step 2: Convert to fraction form
    43,241.91/94,997.16 = 94,997.16/x
  3. Step 3: Cross multiply
    43,241.91x = 94,997.16 × 94,997.16
  4. Step 4: Simplify right side
    43,241.91x = 9,024,459,695.59
  5. Step 5: Solve for x
    x = 9,024,459,695.59/43,241.91
  6. Step 6: Final answer
    x = 208,697.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.