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Finding the Third Proportional to 91,596,949 and 197,542,400

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Solution

The third proportional to 91,596,949 and 197,542,400 is: 426,029,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,596,949 : 197,542,400 = 197,542,400 : x
  2. Step 2: Convert to fraction form
    91,596,949/197,542,400 = 197,542,400/x
  3. Step 3: Cross multiply
    91,596,949x = 197,542,400 × 197,542,400
  4. Step 4: Simplify right side
    91,596,949x = 39,022,999,797,760,000
  5. Step 5: Solve for x
    x = 39,022,999,797,760,000/91,596,949
  6. Step 6: Final answer
    x = 426,029,471.77

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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.