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Finding the Third Proportional to 146,749,064.50 and 319,865,357

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Solution

The third proportional to 146,749,064.50 and 319,865,357 is: 697,202,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,749,064.50 : 319,865,357 = 319,865,357 : x
  2. Step 2: Convert to fraction form
    146,749,064.50/319,865,357 = 319,865,357/x
  3. Step 3: Cross multiply
    146,749,064.50x = 319,865,357 × 319,865,357
  4. Step 4: Simplify right side
    146,749,064.50x = 102,313,846,608,737,456
  5. Step 5: Solve for x
    x = 102,313,846,608,737,456/146,749,064.50
  6. Step 6: Final answer
    x = 697,202,717.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.