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Finding the Third Proportional to 146,752,611 and 319,873,584

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Solution

The third proportional to 146,752,611 and 319,873,584 is: 697,221,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,752,611 : 319,873,584 = 319,873,584 : x
  2. Step 2: Convert to fraction form
    146,752,611/319,873,584 = 319,873,584/x
  3. Step 3: Cross multiply
    146,752,611x = 319,873,584 × 319,873,584
  4. Step 4: Simplify right side
    146,752,611x = 102,319,109,741,005,056
  5. Step 5: Solve for x
    x = 102,319,109,741,005,056/146,752,611
  6. Step 6: Final answer
    x = 697,221,732.85

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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.