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Finding the Third Proportional to 91,596,897 and 197,542,296

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Solution

The third proportional to 91,596,897 and 197,542,296 is: 426,029,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,596,897 : 197,542,296 = 197,542,296 : x
  2. Step 2: Convert to fraction form
    91,596,897/197,542,296 = 197,542,296/x
  3. Step 3: Cross multiply
    91,596,897x = 197,542,296 × 197,542,296
  4. Step 4: Simplify right side
    91,596,897x = 39,022,958,708,951,616
  5. Step 5: Solve for x
    x = 39,022,958,708,951,616/91,596,897
  6. Step 6: Final answer
    x = 426,029,265.04

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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.