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Finding the Third Proportional to 146,354,285 and 318,216,766

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Solution

The third proportional to 146,354,285 and 318,216,766 is: 691,895,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,354,285 : 318,216,766 = 318,216,766 : x
  2. Step 2: Convert to fraction form
    146,354,285/318,216,766 = 318,216,766/x
  3. Step 3: Cross multiply
    146,354,285x = 318,216,766 × 318,216,766
  4. Step 4: Simplify right side
    146,354,285x = 101,261,910,163,498,752
  5. Step 5: Solve for x
    x = 101,261,910,163,498,752/146,354,285
  6. Step 6: Final answer
    x = 691,895,766.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.