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Finding the Third Proportional to 91,450,434 and 197,259,204

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Solution

The third proportional to 91,450,434 and 197,259,204 is: 425,489,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,450,434 : 197,259,204 = 197,259,204 : x
  2. Step 2: Convert to fraction form
    91,450,434/197,259,204 = 197,259,204/x
  3. Step 3: Cross multiply
    91,450,434x = 197,259,204 × 197,259,204
  4. Step 4: Simplify right side
    91,450,434x = 38,911,193,562,713,616
  5. Step 5: Solve for x
    x = 38,911,193,562,713,616/91,450,434
  6. Step 6: Final answer
    x = 425,489,435.76

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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.