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Finding the Third Proportional to 85,955,883.75 and 185,524,080.75

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Solution

The third proportional to 85,955,883.75 and 185,524,080.75 is: 400,428,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,955,883.75 : 185,524,080.75 = 185,524,080.75 : x
  2. Step 2: Convert to fraction form
    85,955,883.75/185,524,080.75 = 185,524,080.75/x
  3. Step 3: Cross multiply
    85,955,883.75x = 185,524,080.75 × 185,524,080.75
  4. Step 4: Simplify right side
    85,955,883.75x = 34,419,184,538,132,520
  5. Step 5: Solve for x
    x = 34,419,184,538,132,520/85,955,883.75
  6. Step 6: Final answer
    x = 400,428,487.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.