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Finding the Third Proportional to 168,006,864 and 263,553,174

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Solution

The third proportional to 168,006,864 and 263,553,174 is: 413,437,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,006,864 : 263,553,174 = 263,553,174 : x
  2. Step 2: Convert to fraction form
    168,006,864/263,553,174 = 263,553,174/x
  3. Step 3: Cross multiply
    168,006,864x = 263,553,174 × 263,553,174
  4. Step 4: Simplify right side
    168,006,864x = 69,460,275,525,474,272
  5. Step 5: Solve for x
    x = 69,460,275,525,474,272/168,006,864
  6. Step 6: Final answer
    x = 413,437,129.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.