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Finding the Third Proportional to 95,242.78 and 203,607.28

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Solution

The third proportional to 95,242.78 and 203,607.28 is: 435,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,242.78 : 203,607.28 = 203,607.28 : x
  2. Step 2: Convert to fraction form
    95,242.78/203,607.28 = 203,607.28/x
  3. Step 3: Cross multiply
    95,242.78x = 203,607.28 × 203,607.28
  4. Step 4: Simplify right side
    95,242.78x = 41,455,924,978.02
  5. Step 5: Solve for x
    x = 41,455,924,978.02/95,242.78
  6. Step 6: Final answer
    x = 435,265.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.