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Finding the Third Proportional to 85,955,949 and 185,524,200

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Solution

The third proportional to 85,955,949 and 185,524,200 is: 400,428,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,955,949 : 185,524,200 = 185,524,200 : x
  2. Step 2: Convert to fraction form
    85,955,949/185,524,200 = 185,524,200/x
  3. Step 3: Cross multiply
    85,955,949x = 185,524,200 × 185,524,200
  4. Step 4: Simplify right side
    85,955,949x = 34,419,228,785,640,000
  5. Step 5: Solve for x
    x = 34,419,228,785,640,000/85,955,949
  6. Step 6: Final answer
    x = 400,428,698.49

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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.