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Finding the Third Proportional to 91,596,947 and 197,542,396

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Solution

The third proportional to 91,596,947 and 197,542,396 is: 426,029,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,596,947 : 197,542,396 = 197,542,396 : x
  2. Step 2: Convert to fraction form
    91,596,947/197,542,396 = 197,542,396/x
  3. Step 3: Cross multiply
    91,596,947x = 197,542,396 × 197,542,396
  4. Step 4: Simplify right side
    91,596,947x = 39,022,998,217,420,816
  5. Step 5: Solve for x
    x = 39,022,998,217,420,816/91,596,947
  6. Step 6: Final answer
    x = 426,029,463.81

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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.